Palace, who lost 1-0 to Chelsea on Sunday, have scored 17 goals in 20 games this season, the third lowest in the Premier League.

"It's no secret he's a target," said Hodgson. "He's a proven goalscorer through all the age groups."

Huddersfield and Brighton are also interested in 21-year-old Solanke.

It is understood there is also interest from the Championship and clubs outside England.

"He's someone with the profile we're looking for, and the ability we are looking for. We know him better from the England games, and the performances with England," said Hodgson.

"If he comes here, it'll be up to him to show he can do that in Premier League football."

Solanke, a former England youth international who has won one senior cap - against Brazil last year - joined Liverpool from Chelsea on a free transfer in 2017.

However, he has not made a first-team appearance for the league leaders this season.

He was ruled out of Saturday's 5-1 win over Arsenal with a muscle problem.

Hodgson added: "I thought he was a good signing from Liverpool's point of view, but he's been kept out of the team by some very strong players.

"It would take some player to knock their front three out of the team, so it's not a negative that he's not been able to do so."