diff --git a/lib/roles/http/server/server.c b/lib/roles/http/server/server.c
index 270231c01..1a1aab85e 100644
--- a/lib/roles/http/server/server.c
+++ b/lib/roles/http/server/server.c
@@ -2870,6 +2870,9 @@ int lws_serve_http_file_fragment(struct lws *wsi)
 	unsigned char *p, *pstart;
 #if defined(LWS_WITH_RANGES)
 	unsigned char finished = 0;
+#endif
+#if defined(LWS_ROLE_H2)
+	struct lws *nwsi;
 #endif
 	int n, m;
 
@@ -3014,6 +3017,18 @@ int lws_serve_http_file_fragment(struct lws *wsi)
 		else
 			n = lws_ptr_diff(p, pstart) + (int)amount;
 
+#if defined(LWS_ROLE_H2)
+		/*
+		 * If it's h2, restrict any lump that we are sending to the
+		 * max h2 frame size the peer indicated he could handle in
+		 * his SETTINGS
+		 */
+		nwsi = lws_get_network_wsi(wsi);
+		if (nwsi->h2.h2n &&
+		    n > (int)nwsi->h2.h2n->peer_set.s[H2SET_MAX_FRAME_SIZE])
+			n = (int)nwsi->h2.h2n->peer_set.s[H2SET_MAX_FRAME_SIZE];
+#endif
+
 		lwsl_debug("%s: sending %d\n", __func__, n);
 
 		if (n) {