Adams made his debut during the victory over Ipswich Town at the weekend.
Tottenham Hotspur are in the running for the Premier League title this season.
Wolverhampton Wanderers are keen to sign Rico Henry and Tom Bradshaw from Walsall.
Derby County were beaten 4-1 by Burnley yesterday evening.
Sheffield Wednesday, Watford, Fulham and Bristol City are all keen on the Liverpool youngster.
Steven Naismith recently joined Norwich City from Premier League rivals Everton.
Allardyce is drawing on past experience in the hope that a top player will want to help Sunderland out for the remainder of the season.
Chris Dawson has made four senior appearances for Leeds United over his career to date.
Jurgen Klopp's centre-backs have suffered several injuries in recent months.
Danny Murphy is keen to see Tottenham win the Premier League.