diff --git a/code/server/sv_netdemo.c b/code/server/sv_netdemo.c
index 0ea122f..f7ac353 100644
--- a/code/server/sv_netdemo.c
+++ b/code/server/sv_netdemo.c
@@ -625,9 +625,10 @@ static qboolean SVD_ReadFrame( fileHandle_t f ) {
 		return qfalse;  // end of demo
 	}
 
-	// don't overwrite svs.time — it advances normally via SV_Frame.
-	// the recorded serverTime is consumed but not applied, avoiding
-	// time jumps that break client timeouts and heartbeats.
+	// set svs.time to recorded time so entity trajectory interpolation
+	// works correctly (rockets, grenades, etc. use pos.trTime relative
+	// to server time). zombie timeout is already skipped during playback.
+	svs.time = serverTime;
 	numEnts = SVD_ReadShort( f );
 
 	// read entity message (optionally LZ4 compressed)