diff --git a/Makefile.pre.in b/Makefile.pre.in
index 0c1b11b..6b8b739 100644
--- a/Makefile.pre.in
+++ b/Makefile.pre.in
@@ -59,7 +59,7 @@
 # Compiler options
 OPT=		@OPT@
 BASECFLAGS=	@BASECFLAGS@
-CFLAGS=		$(BASECFLAGS) $(OPT) $(EXTRA_CFLAGS)
+CFLAGS=		$(BASECFLAGS) @CFLAGS@ $(OPT) $(EXTRA_CFLAGS)
 # Both CPPFLAGS and LDFLAGS need to contain the shell's value for setup.py to
 # be able to build extension modules using the directories specified in the
 # environment variables
@@ -89,8 +89,8 @@
 datarootdir=    @datarootdir@
 
 # Expanded directories
-BINDIR=		$(exec_prefix)/bin
-LIBDIR=		$(exec_prefix)/lib
+BINDIR=		@bindir@
+LIBDIR=		@libdir@
 MANDIR=		@mandir@
 INCLUDEDIR=	@includedir@
 CONFINCLUDEDIR=	$(exec_prefix)/include
@@ -401,8 +401,8 @@
 # Build the shared modules
 sharedmods: $(BUILDPYTHON)
 	@case $$MAKEFLAGS in \
-	*s*) $(RUNSHARED) CC='$(CC)' LDSHARED='$(BLDSHARED)' OPT='$(OPT)' ./$(BUILDPYTHON) -E $(srcdir)/setup.py -q build;; \
-	*) $(RUNSHARED) CC='$(CC)' LDSHARED='$(BLDSHARED)' OPT='$(OPT)' ./$(BUILDPYTHON) -E $(srcdir)/setup.py build;; \
+	*s*) $(RUNSHARED) CC='$(CC)' LDSHARED='$(BLDSHARED)' LDFLAGS='$(LDFLAGS)' OPT='$(OPT)' ./$(BUILDPYTHON) -E $(srcdir)/setup.py -q build;; \
+	*) $(RUNSHARED) CC='$(CC)' LDSHARED='$(BLDSHARED)' LDFLAGS='$(LDFLAGS)' OPT='$(OPT)' ./$(BUILDPYTHON) -E $(srcdir)/setup.py build;; \
 	esac
 
 # Build static library
diff --git a/Misc/NEWS b/Misc/NEWS
index c9c5989..48fe18d 100644
--- a/Misc/NEWS
+++ b/Misc/NEWS
@@ -91,6 +91,10 @@
 Build
 -----
 
+- Issue #1628484: The Makefile doesn't ignore the CFLAGS environment
+  variable anymore.  It also forwards the LDFLAGS settings to the linker
+  when building a shared library.
+
 - Issue #6716: Quote -x arguments of compileall in MSI installer.
 
 - Issue #7705: Fix linking on FreeBSD.