diff --git a/hfst-sse.diff b/hfst-sse.diff
deleted file mode 100644
index 6984eef..0000000
--- a/hfst-sse.diff
+++ /dev/null
@@ -1,20 +0,0 @@
----
- configure.ac |    5 -----
- 1 file changed, 5 deletions(-)
-
-Index: hfst-3.16.1/configure.ac
-===================================================================
---- hfst-3.16.1.orig/configure.ac
-+++ hfst-3.16.1/configure.ac
-@@ -647,11 +647,6 @@ CXXFLAGS="$CXXFLAGS -std=c++17"
- # Needed for M_LN2 and friends
- CPPFLAGS="$CPPFLAGS -D_GNU_SOURCE -D_USE_MATH_DEFINES"
- 
--# On 32bit x86, we need to use SSE for precise floating point arithmetics in OpenFST
--AX_CHECK_COMPILE_FLAG([-msse], [CPPFLAGS="$CPPFLAGS -msse"], [])
--AX_CHECK_COMPILE_FLAG([-msse2], [CPPFLAGS="$CPPFLAGS -msse2"], [])
--AX_CHECK_COMPILE_FLAG([-mfpmath=sse], [CPPFLAGS="$CPPFLAGS -mfpmath=sse"], [])
--
- AC_CHECK_HEADERS([ext/slist])
- 
- AS_IF([test "x$with_sfst" != "xno"],
diff --git a/hfst.changes b/hfst.changes
index 620e280..1a7e09c 100644
--- a/hfst.changes
+++ b/hfst.changes
@@ -4,6 +4,7 @@ Sat Jan 18 15:56:21 UTC 2025 - Jan Engelhardt <jengelh@inai.de>
 - Update to release 3.16.2
   * Removal of n-best paths search for log weight automata
   * Added an experimental C interface library
+- Delete hfst-sse.diff which made i586 tests fail.
 
 -------------------------------------------------------------------
 Wed Nov 20 10:58:42 UTC 2024 - Jan Engelhardt <jengelh@inai.de>
diff --git a/hfst.spec b/hfst.spec
index cc3c02b..e666684 100644
--- a/hfst.spec
+++ b/hfst.spec
@@ -25,7 +25,6 @@ Group:          Development/Tools/Other
 URL:            https://hfst.github.io/
 
 Source:         https://github.com/hfst/hfst/archive/refs/tags/v%version.tar.gz
-Patch3:         hfst-sse.diff
 BuildRequires:  autoconf
 BuildRequires:  automake
 BuildRequires:  bison
@@ -61,6 +60,10 @@ The Helsinki Finite-State Transducer software is intended for the
 implementation of morphological analyzers and other tools which are
 based on weighted and unweighted finite-state transducer technology.
 
+%ifarch %ix86
+On 32-bit x86, this package requires the presence of SSE2.
+%endif
+
 %package -n libhfst_c0
 Summary:        Helsinki Finite-State Transducer C API Library
 License:        GPL-3.0-only