diff --git a/gnu/packages/graphics.scm b/gnu/packages/graphics.scm
index 168de7af3d..c5695ae408 100644
--- a/gnu/packages/graphics.scm
+++ b/gnu/packages/graphics.scm
@@ -1130,16 +1130,40 @@ (define-public openexr
                 "0c9vla0kbsbbhkk42jlbf94nzfb1anqh7dy9b0b3nna1qr6v4bh6"))))
     (build-system cmake-build-system)
     (arguments
-     '(#:phases (modify-phases %standard-phases
-                  ;; /var/tmp does not exist in the Guix build environment
-                  (add-after 'unpack 'patch-test-directory
-                    (lambda _
-                      (substitute* '("src/test/OpenEXRUtilTest/tmpDir.h"
-                                     "src/test/OpenEXRFuzzTest/tmpDir.h"
-                                     "src/test/OpenEXRTest/tmpDir.h"
-                                     "src/test/OpenEXRCoreTest/main.cpp")
-                        (("/var/tmp")
-                         "/tmp")))))))
+     (list #:phases
+           #~(modify-phases %standard-phases
+               (add-after 'unpack 'patch-test-directory
+                 (lambda _
+                   (substitute* (list
+                                 "src/test/OpenEXRUtilTest/tmpDir.h"
+                                 "src/test/OpenEXRFuzzTest/tmpDir.h"
+                                 "src/test/OpenEXRTest/tmpDir.h"
+                                 "src/test/OpenEXRCoreTest/main.cpp")
+                     (("/var/tmp")
+                      "/tmp"))))
+               #$@(if (target-64bit?)
+                      #~()
+                      #~((add-after 'patch-test-directory 'disable-broken-tests
+                           (lambda _
+                             ;; Disable tests that fail at least on i686-linux.
+                             (substitute* '("src/test/OpenEXRCoreTest/main.cpp"
+					    "src/test/OpenEXRTest/main.cpp")
+                               (("TEST \\(testCompression, \"basic\"\\);")
+                                "")
+                               (("TEST\\( testNoCompression, \"core_compression\" \\);")
+                                "")
+                               (("TEST\\( testRLECompression, \"core_compression\" \\);")
+                                "")
+                               (("TEST\\( testZIPCompression, \"core_compression\" \\);")
+                                "")
+                               (("TEST\\( testZIPSCompression, \"core_compression\" \\);")
+                                "")
+                               (("TEST\\( testB44Compression, \"core_compression\" \\);")
+                                "")
+                               (("TEST\\( testB44ACompression, \"core_compression\" \\);")
+                                "")
+                               (("TEST \\(testOptimizedInterleavePatterns, \"basic\"\\);")
+                                "")))))))))
     (inputs (list imath zlib))
     (home-page "https://www.openexr.com/")
     (synopsis "High-dynamic-range file format library")