diff --git a/usr.sbin/rtsold/rtsold.8 b/usr.sbin/rtsold/rtsold.8
--- a/usr.sbin/rtsold/rtsold.8
+++ b/usr.sbin/rtsold/rtsold.8
@@ -29,7 +29,7 @@
 .\"
 .\" $FreeBSD$
 .\"
-.Dd August 14, 2021
+.Dd November 12, 2021
 .Dt RTSOLD 8
 .Os
 .\"
@@ -39,27 +39,27 @@
 .\"
 .Sh SYNOPSIS
 .Nm
-.Op Fl dDfFmu1
+.Op Fl dDfFimu1
 .Op Fl M Ar script-name
 .Op Fl O Ar script-name
 .Op Fl p Ar pidfile
 .Op Fl R Ar script-name
 .Ar interface ...
 .Nm
-.Op Fl dDfFmu1
+.Op Fl dDfFimu1
 .Op Fl M Ar script-name
 .Op Fl O Ar script-name
 .Op Fl p Ar pidfile
 .Op Fl R Ar script-name
 .Fl a
 .Nm rtsol
-.Op Fl dDu
+.Op Fl dDiu
 .Op Fl M Ar script-name
 .Op Fl O Ar script-name
 .Op Fl R Ar script-name
 .Ar interface ...
 .Nm rtsol
-.Op Fl dDu
+.Op Fl dDiu
 .Op Fl M Ar script-name
 .Op Fl O Ar script-name
 .Op Fl R Ar script-name
@@ -194,6 +194,12 @@
 .Xr sysctl 8
 and
 .Xr ifconfig 8 .
+.It Fl i
+Transmit Router Solicitation packets immediately, without waiting the
+normal random (between 0 and 1 second) delay.
+This option should not be used on networks where it might result in
+congestion due to many hosts simultaneously (re)connecting and
+sending such packets.
 .It Fl m
 Enable mobility support.
 If this option is specified,
diff --git a/usr.sbin/rtsold/rtsold.c b/usr.sbin/rtsold/rtsold.c
--- a/usr.sbin/rtsold/rtsold.c
+++ b/usr.sbin/rtsold/rtsold.c
@@ -99,6 +99,7 @@
 
 /* static variables and functions */
 static int mobile_node = 0;
+static int no_solicitation_delay = 0;
 
 static sig_atomic_t do_dump, do_exit;
 static struct pidfh *pfh;
@@ -125,11 +126,11 @@
 
 	progname = basename(argv[0]);
 	if (strcmp(progname, "rtsold") == 0) {
-		opts = "adDfFm1M:O:p:R:u";
+		opts = "adDfFim1M:O:p:R:u";
 		once = 0;
 		pidfilepath = NULL;
 	} else {
-		opts = "adDFM:O:R:u";
+		opts = "adDFiM:O:R:u";
 		fflag = 1;
 		once = 1;
 	}
@@ -151,6 +152,9 @@
 		case 'F':
 			Fflag = 1;
 			break;
+		case 'i':
+			no_solicitation_delay = 1;
+			break;
 		case 'm':
 			mobile_node = 1;
 			break;
@@ -717,7 +721,10 @@
 			ifi->timer = tm_max;	/* stop timer(valid?) */
 		break;
 	case IFS_DELAY:
-		interval = arc4random_uniform(MAX_RTR_SOLICITATION_DELAY * MILLION);
+		if (no_solicitation_delay)
+			interval = 0;
+		else
+			interval = arc4random_uniform(MAX_RTR_SOLICITATION_DELAY * MILLION);
 		ifi->timer.tv_sec = interval / MILLION;
 		ifi->timer.tv_nsec = (interval % MILLION) * 1000;
 		break;