--- configure.ac	(Asterisk 13.19)
+++ configure.ac	(working copy)
@@ -1553,2 +1553,6 @@
       AST_PKG_CONFIG_CHECK(LIBEDIT, libedit)
+      if test "$PBX_LIBEDIT" != "1"; then
+         # some platforms do not list libedit via pkg-config, for example OpenBSD 6.2
+         AST_EXT_LIB_CHECK([LIBEDIT], [edit], [history_init], [histedit.h], [-ltermcap])
+      fi
       if test "$PBX_LIBEDIT" = "1"; then