diff --git a/README.md b/README.md
index d830eb97b..3aa37473a 100644
--- a/README.md
+++ b/README.md
@@ -73,9 +73,6 @@ $ brew install swig
 - `--enable-swig-python`. Enable the [SWIG](http://www.swig.org/) Python
    interface. The resulting shared library can be imported from Python using
    the generated interface file `src/swig_python/wallycore/__init__.py`. (default: no).
-- `--enable-python-manylinux`. Enable [manylinux](https://github.com/pypa/manylinux)
-   support for building [PyPI](https://pypi.org/) compatible python wheels. Using
-   the resulting library in non-python programs requires linking with `libpython.so`.
 - `--enable-swig-java`. Enable the [SWIG](http://www.swig.org/) Java (JNI)
    interface. After building, see `src/swig_java/src/com/blockstream/libwally/Wally.java`
    for the Java interface definition (default: no).
diff --git a/configure.ac b/configure.ac
index 9dd4fa54e..eb7662ecd 100644
--- a/configure.ac
+++ b/configure.ac
@@ -338,11 +338,10 @@ AC_SUBST([libsecp256k1_LIBS])
 #
 # Python facilities
 #
-AC_ARG_ENABLE(python-manylinux,
-    AS_HELP_STRING([--enable-python-manylinux],[enable manylinux Python compatibility (default: no)]),
-    [python_manylinux=$enableval], [python_manylinux=no])
-AM_CONDITIONAL([PYTHON_MANYLINUX], [test "x$python_manylinux" = "xyes"])
-
+dnl We set the 'optional' flag here because manylinux cibuildwheel containers
+dnl don't include libpython*.so, and thus AX_PYTHON_DEVEL fails its final sanity
+dnl check. We actually don't link against libpython*.so anyway, so all we care
+dnl about is that we get a good value of $PYTHON_CPPFLAGS to pass to SWIG.
 AX_PYTHON_DEVEL([>= '3.9.0'], [true])
 AM_CONDITIONAL([HAVE_PYTHON], [test "x$ax_python_devel_found" = "xyes"])
 
@@ -365,10 +364,10 @@ AC_ARG_ENABLE(swig-python,
     [swig_python=$enableval], [swig_python=no])
 AM_CONDITIONAL([USE_SWIG_PYTHON], [test "x$swig_python" = "xyes"])
 
-AM_CONDITIONAL([RUN_PYTHON_TESTS], [test "$PYTHON" != "" -a "x$pythonexists" = "xyes"])
+AM_CONDITIONAL([RUN_PYTHON_TESTS], [test -n "$PYTHON"])
 
 if test "x$swig_python" = "xyes"; then
-    if test "x$pythonexists" != "xyes"; then
+    if test -z "$PYTHON_CPPFLAGS"; then
         AC_MSG_FAILURE([ERROR: No usable Python was found for swig-python])
     fi
     if test "x$elements_abi" = "xno"; then
diff --git a/setup.py b/setup.py
index b76e8cc85..279b8b653 100644
--- a/setup.py
+++ b/setup.py
@@ -62,7 +62,7 @@ def _call(args, cwd=ABS_PATH):
     _call(['git', 'submodule', 'update', '--init', '--recursive'])
 
 CONFIGURE_ARGS = [
-    '--with-pic', '--enable-swig-python', '--enable-python-manylinux',
+    '--with-pic', '--enable-swig-python',
     '--disable-swig-java', '--disable-tests', '--disable-dependency-tracking'
 ]
 
diff --git a/src/Makefile.am b/src/Makefile.am
index 977593a51..ec2cb4820 100644
--- a/src/Makefile.am
+++ b/src/Makefile.am
@@ -38,15 +38,7 @@ TOOLS_EXTRA_ARGS :=
 endif
 
 if USE_SWIG_PYTHON
-noinst_LTLIBRARIES += libswig_python.la
-libswig_python_la_SOURCES = swig_python/swig_python_wrap.c
-
-libswig_python_la_CFLAGS = -I$(top_srcdir) $(libsecp256k1_CFLAGS) $(AM_CFLAGS) $(SWIG_PYTHON_CPPFLAGS) $(SWIG_WARN_CFLAGS) $(NOALIAS_CFLAGS)
-if PYTHON_MANYLINUX
-else
-libswig_python_la_LIBADD = $(PYTHON_LIBS)
-endif # PYTHON_MANYLINUX
-
+BUILT_SOURCES = swig_python/swig_python_wrap.c
 # Append our extra wrapper code to the package
 swig_python/swig_python_wrap.c : swig_python/swig.i swig_python/python_extra.py_in
 	$(AM_V_at)$(SWIG) $(SWIG_PYTHON_OPT) $(SWIG_GEN_FLAGS) -outdir swig_python -o $@ $< && \
@@ -60,20 +52,6 @@ clean-local: clean-swig-python
 endif # USE_SWIG_PYTHON
 
 if RUN_PYTHON_TESTS
-# Python requires the shared library to be named _wallycore.so
-# for 'import' to work.
-if IS_OSX
-platform_dso_ext = dylib
-else
-if IS_MINGW
-platform_dso_ext = dll
-else
-platform_dso_ext = so
-endif # IS_MINGW
-endif # IS_OSX
-.libs/_wallycore.so: .libs/libwallycore.$(platform_dso_ext)
-	$(AM_V_at)ln -sfn libwallycore.$(platform_dso_ext) $@
-PYTHON_TEST_DEPS = .libs/_wallycore.so
 PYTHON_TEST = PYTHONDONTWRITEBYTECODE=1 $(PYTHON)
 endif
 
@@ -225,31 +203,26 @@ endif
 
 TESTS =
 noinst_PROGRAMS =
+
 if RUN_TESTS
 TESTS += test_bech32
 noinst_PROGRAMS += test_bech32
 test_bech32_SOURCES = ctest/test_bech32.c
 test_bech32_CFLAGS = -I$(top_srcdir)/include $(AM_CFLAGS)
 test_bech32_LDADD = $(lib_LTLIBRARIES) @CTEST_EXTRA_STATIC@
-if PYTHON_MANYLINUX
-test_bech32_LDADD += $(PYTHON_LIBS)
-endif
+
 TESTS += test_psbt
 noinst_PROGRAMS += test_psbt
 test_psbt_SOURCES = ctest/test_psbt.c ccan/ccan/str/hex/hex.c
 test_psbt_CFLAGS = -I$(top_srcdir)/include $(AM_CFLAGS) -I$(srcdir)/ccan
 test_psbt_LDADD = $(lib_LTLIBRARIES) @CTEST_EXTRA_STATIC@
-if PYTHON_MANYLINUX
-test_psbt_LDADD += $(PYTHON_LIBS)
-endif
+
 TESTS += test_psbt_limits
 noinst_PROGRAMS += test_psbt_limits
 test_psbt_limits_SOURCES = ctest/test_psbt_limits.c ccan/ccan/str/hex/hex.c
 test_psbt_limits_CFLAGS = -I$(top_srcdir)/include $(AM_CFLAGS) -I$(srcdir)/ccan
 test_psbt_limits_LDADD = $(lib_LTLIBRARIES) @CTEST_EXTRA_STATIC@
-if PYTHON_MANYLINUX
-test_psbt_limits_LDADD += $(PYTHON_LIBS)
-endif
+
 if USE_PTHREAD
 TESTS += test_clear
 noinst_PROGRAMS += test_clear
@@ -257,50 +230,39 @@ test_clear_SOURCES = ctest/test_clear.c
 test_clear_CFLAGS = -I$(top_srcdir)/include $(PTHREAD_CFLAGS) $(AM_CFLAGS) $(NOOPT_CFLAGS) $(NOBUILTIN_CFLAGS)
 test_clear_LIBS = $(PTHREAD_LIBS)
 test_clear_LDADD = $(lib_LTLIBRARIES) @CTEST_EXTRA_STATIC@
-if PYTHON_MANYLINUX
-test_clear_LDADD += $(PYTHON_LIBS)
-endif
 endif
+
 TESTS += test_coinselection
 noinst_PROGRAMS += test_coinselection
 test_coinselection_SOURCES = ctest/test_coinselection.c
 test_coinselection_CFLAGS = -I$(top_srcdir)/include $(AM_CFLAGS)
 test_coinselection_LDADD = $(lib_LTLIBRARIES) @CTEST_EXTRA_STATIC@
-if PYTHON_MANYLINUX
-test_coinselection_LDADD += $(PYTHON_LIBS)
-endif
+
 TESTS += test_tx
 noinst_PROGRAMS += test_tx
 test_tx_SOURCES = ctest/test_tx.c
 test_tx_CFLAGS = -I$(top_srcdir)/include $(AM_CFLAGS)
 test_tx_LDADD = $(lib_LTLIBRARIES) @CTEST_EXTRA_STATIC@
-if PYTHON_MANYLINUX
-test_tx_LDADD += $(PYTHON_LIBS)
-endif
+
 TESTS += test_descriptor
 noinst_PROGRAMS += test_descriptor
 test_descriptor_SOURCES = ctest/test_descriptor.c
 test_descriptor_CFLAGS = -I$(top_srcdir)/include $(AM_CFLAGS)
 test_descriptor_LDADD = $(lib_LTLIBRARIES) @CTEST_EXTRA_STATIC@
-if PYTHON_MANYLINUX
-test_descriptor_LDADD += $(PYTHON_LIBS)
-endif
+
 if BUILD_ELEMENTS
 TESTS += test_elements_tx
 noinst_PROGRAMS += test_elements_tx
 test_elements_tx_SOURCES = ctest/test_elements_tx.c
 test_elements_tx_CFLAGS = -I$(top_srcdir)/include $(AM_CFLAGS)
 test_elements_tx_LDADD = $(lib_LTLIBRARIES) @CTEST_EXTRA_STATIC@
-if PYTHON_MANYLINUX
-test_elements_tx_LDADD += $(PYTHON_LIBS)
-endif
 endif
 
 check-local: check-libwallycore check-swig-java check-swig-python
 	$(AM_V_at)! grep '^int ' $(top_srcdir)/include/*.h # Missing WALLY_CORE_API
 
 if RUN_JAVA_TESTS
-check-swig-java: $(SWIG_JAVA_TEST_DEPS) .libs/libwallycore.$(platform_dso_ext)
+check-swig-java: $(SWIG_JAVA_TEST_DEPS) libwallycore.la
 	$(AM_V_at)! grep 'native int wally_' $(sjs)/$(cblw)/Wally.java # Unwrapped Java calls
 	$(AM_V_at)! grep 'native Object wally_' $(sjs)/$(cblw)/Wally.java # Unwrapped Java calls
 if BUILD_ELEMENTS
@@ -319,7 +281,7 @@ endif # RUN_JAVA_TESTS
 
 if SHARED_BUILD_ENABLED
 if RUN_PYTHON_TESTS
-check-libwallycore: $(PYTHON_TEST_DEPS)
+check-libwallycore:
 	$(AM_V_at)$(PYTHON_TEST) test/test_address.py
 	$(AM_V_at)$(PYTHON_TEST) test/test_aes.py
 	$(AM_V_at)$(PYTHON_TEST) test/test_anti_exfil.py
@@ -356,7 +318,7 @@ if BUILD_ELEMENTS
 endif
 
 if USE_SWIG_PYTHON
-check-swig-python: check-libwallycore check-swig-java
+check-swig-python:
 	$(AM_V_at)rm -rf $(top_builddir)/venv
 	$(AM_V_at)$(PYTHON) -m virtualenv $(top_builddir)/venv
 	$(AM_V_at)$(top_builddir)/venv/bin/python -m pip install $(top_srcdir)