diff --git a/docs/changelog.md b/docs/changelog.md
index 5b2e9f23..297b4b27 100644
--- a/docs/changelog.md
+++ b/docs/changelog.md
@@ -4,6 +4,11 @@
 
 Requires libvips v8.9.0.
 
+### v0.24.1 - TBD
+
+* Prevent use of sequentialRead for EXIF-based rotate operation.
+  [#2042](https://github.com/lovell/sharp/issues/2042)
+
 ### v0.24.0 - 16<sup>th</sup> January 2020
 
 * Drop support for Node.js 8.
diff --git a/src/pipeline.cc b/src/pipeline.cc
index 4745c4be..5c38beae 100644
--- a/src/pipeline.cc
+++ b/src/pipeline.cc
@@ -1404,7 +1404,9 @@ NAN_METHOD(pipeline) {
       baton->trimThreshold > 0.0 ||
       baton->normalise ||
       baton->position == 16 || baton->position == 17 ||
-      baton->angle != 0 || baton->rotationAngle != 0.0
+      baton->angle % 360 != 0 ||
+      fmod(baton->rotationAngle, 360.0) != 0.0 ||
+      baton->useExifOrientation
     ) {
       baton->input->access = VIPS_ACCESS_RANDOM;
     }