The Dutchman knows Liverpool midfielder Georginio Wijnaldum well.
Former Queens Park Rangers midfielder Leroy Fer scored for Swansea City against Crystal Palace in the Premier League at the weekend.
The Swans were well beaten 3-1 at Stoke City last night and are in the bottom three.
Swansea City are struggling for results, but the spark Modou Barrow brings on the flanks could be the key to a turnaround.
Makaay played with Fer at Feyenoord and has kept a close eye on his dutch team-mate since he joined the Swans.
Many are already writing off Swansea under their new coach, but the club could benefit from a change in direction - especially with two strapping targetmen in their ranks.
Liverpool were 2-1 winners at the Liberty Stadium on Saturday.
The Dutch pair played together at Feyenoord.
Swansea City host Liverpool at the Liberty Stadium in Saturday's early kick-off.
Swansea drew 2-2 with Chelsea at the Liberty stadium Sunday.