Randall played in Liverpool's 2-1 defeat to Wolverhampton Wanderers on Saturday, but is reportedly close to joining Barnsley.
Randall looks likely to stay at Anfield to provide cover at full-back.
Simon Grayson's side have enquired into the availability of Connor Randall.
The Liverpool youngster may find game time hard to come by next season.
Many young and fringe players are said to be attracting interest from elsewhere.
Liverpool won at the weekend against Bournemouth with an unfamiliar looking side.
Liverpool beat Bournemouth 2-1 on Sunday afternoon.
Liverpool ran out 3-0 winners in their FA Cup third round replay against Exeter City.
Randall has made three first team appearances so far this season.
Lucas says there have been a few standout players among the youngsters who have been given the opportunity to impress.