diff --git a/bin/varnishd/http2/cache_http2.h b/bin/varnishd/http2/cache_http2.h
index 0bb485fde13..d3cd4673d28 100644
--- a/bin/varnishd/http2/cache_http2.h
+++ b/bin/varnishd/http2/cache_http2.h
@@ -193,6 +193,13 @@ struct h2_sess {
 	VTAILQ_HEAD(,h2_req)		txqueue;
 
 	h2_error			error;
+
+	// rst rate limit parameters, copied from h2_* parameters
+	vtim_dur			rapid_reset;
+	int64_t				rapid_reset_limit;
+	vtim_dur			rapid_reset_period;
+
+	// rst rate limit stats
 	double				rst_allowance;
 	vtim_real			last_rst;
 };
diff --git a/bin/varnishd/http2/cache_http2_proto.c b/bin/varnishd/http2/cache_http2_proto.c
index b69b659121e..f7a104c0aae 100644
--- a/bin/varnishd/http2/cache_http2_proto.c
+++ b/bin/varnishd/http2/cache_http2_proto.c
@@ -336,16 +336,16 @@ h2_rx_rst_stream(struct worker *wrk, struct h2_sess *h2, struct h2_req *r2)
 		return (0);
 	h2_kill_req(wrk, h2, r2, h2_streamerror(vbe32dec(h2->rxf_data)));
 
-	if (cache_param->h2_rapid_reset == 0 ||
-	    cache_param->h2_rapid_reset_limit == 0)
+	if (h2->rapid_reset == 0 ||
+	    h2->rapid_reset_limit == 0)
 		return (0);
 
 	now = VTIM_real();
 	d = now - h2->last_rst;
-	h2->rst_allowance += (1.0 * d / cache_param->h2_rapid_reset_period) *
-	    cache_param->h2_rapid_reset_limit;
+	h2->rst_allowance += (1.0 * d / h2->rapid_reset_period) *
+	    h2->rapid_reset_limit;
 	h2->rst_allowance = vmin_t(double, h2->rst_allowance,
-	    cache_param->h2_rapid_reset_limit);
+	    h2->rapid_reset_limit);
 	h2->last_rst = now;
 
 	if (h2->rst_allowance < 1.0) {
@@ -354,7 +354,7 @@ h2_rx_rst_stream(struct worker *wrk, struct h2_sess *h2, struct h2_req *r2)
 		Lck_Unlock(&h2->sess->mtx);
 		return (H2CE_ENHANCE_YOUR_CALM);
 	}
-	if (d < cache_param->h2_rapid_reset)
+	if (d < h2->rapid_reset)
 		h2->rst_allowance -= 1.0;
 
 	return (0);
diff --git a/bin/varnishd/http2/cache_http2_session.c b/bin/varnishd/http2/cache_http2_session.c
index cecb0214c03..9f8253aded7 100644
--- a/bin/varnishd/http2/cache_http2_session.c
+++ b/bin/varnishd/http2/cache_http2_session.c
@@ -127,7 +127,12 @@ h2_init_sess(struct sess *sp,
 	h2_local_settings(&h2->local_settings);
 	h2->remote_settings = H2_proto_settings;
 	h2->decode = decode;
-	h2->rst_allowance = cache_param->h2_rapid_reset_limit;
+
+	h2->rapid_reset = cache_param->h2_rapid_reset;
+	h2->rapid_reset_limit = cache_param->h2_rapid_reset_limit;
+	h2->rapid_reset_period = cache_param->h2_rapid_reset_period;
+
+	h2->rst_allowance = h2->rapid_reset_limit;
 	h2->last_rst = sp->t_open;
 	AZ(isnan(h2->last_rst));