diff --git a/pkgs/development/libraries/openssl/default.nix b/pkgs/development/libraries/openssl/default.nix
index 7c702660d390..d7f9a42511ad 100644
--- a/pkgs/development/libraries/openssl/default.nix
+++ b/pkgs/development/libraries/openssl/default.nix
@@ -90,7 +90,15 @@ let
         substituteInPlace Configurations/unix-Makefile.tmpl \
           --replace 'ENGINESDIR=$(libdir)/engines-{- $sover_dirname -}' \
                     'ENGINESDIR=$(OPENSSLDIR)/engines-{- $sover_dirname -}'
-      '';
+      ''
+      # This test will fail if the error strings between the build libc and host
+      # libc mismatch, e.g. when cross-compiling from glibc to musl
+      +
+        lib.optionalString
+          (finalAttrs.finalPackage.doCheck && stdenv.hostPlatform.libc != stdenv.buildPlatform.libc)
+          ''
+            rm test/recipes/02-test_errstr.t
+          '';
 
       outputs = [
         "bin"
@@ -186,11 +194,6 @@ let
             "--openssldir=/.$(etc)/etc/ssl"
         )
       ]
-      # Tell build system it's cross environment. This allows to skip tests
-      # that would fail when libc is different. Otherwise, run the tests.
-      ++ lib.optional (
-        !lib.systems.equals stdenv.buildPlatform stdenv.hostPlatform
-      ) "--cross-compile-prefix=${lib.getBin stdenv.cc}/bin/"
       ++ lib.optionals withCryptodev [
         "-DHAVE_CRYPTODEV"
         "-DUSE_CRYPTODEV_DIGESTS"