diff --git a/src/core/parser.js b/src/core/parser.js
index 1ffe89305..8b83c5da4 100644
--- a/src/core/parser.js
+++ b/src/core/parser.js
@@ -346,6 +346,9 @@ var Parser = (function ParserClosure() {
         return new NullStream(stream);
       }
       try {
+        if (params) {
+          params = this.fetchIfRef(params);
+        }
         var xrefStreamStats = this.xref.stats.streamTypes;
         if (name === 'FlateDecode' || name === 'Fl') {
           xrefStreamStats[StreamType.FLATE] = true;
@@ -386,7 +389,6 @@ var Parser = (function ParserClosure() {
         }
         if (name === 'CCITTFaxDecode' || name === 'CCF') {
           xrefStreamStats[StreamType.CCF] = true;
-          params = this.fetchIfRef(params);
           return new CCITTFaxStream(stream, maybeLength, params);
         }
         if (name === 'RunLengthDecode' || name === 'RL') {
diff --git a/test/pdfs/.gitignore b/test/pdfs/.gitignore
index 04c618195..02a8c23ea 100644
--- a/test/pdfs/.gitignore
+++ b/test/pdfs/.gitignore
@@ -18,6 +18,7 @@
 !sizes.pdf
 !close-path-bug.pdf
 !issue4630.pdf
+!issue5280.pdf
 !alphatrans.pdf
 !devicen.pdf
 !cmykjpeg.pdf
diff --git a/test/pdfs/issue5280.pdf b/test/pdfs/issue5280.pdf
new file mode 100644
index 000000000..53073d5ce
Binary files /dev/null and b/test/pdfs/issue5280.pdf differ
diff --git a/test/test_manifest.json b/test/test_manifest.json
index fb0c82f72..db34996b4 100644
--- a/test/test_manifest.json
+++ b/test/test_manifest.json
@@ -1527,6 +1527,14 @@
       "type": "eq",
       "about": "True type font with encoding dict with no base encoding but with differences."
     },
+    {  "id": "issue5280",
+      "file": "pdfs/issue5280.pdf",
+      "md5": "0ea1230e2964e74cb6db063a89b78803",
+      "rounds": 1,
+      "link": false,
+      "type": "eq",
+      "about": "DecodeParams can be an indirect object"
+    },
     {  "id": "bug878194",
        "file": "pdfs/bug878194.pdf",
        "md5": "c616b21fd2a1a65acc2de0f41e59a8b5",