Ten Hag wants to sign a proper number 2 goalkeeper who can come in and challenge David de Gea for a place in the starting eleven.
Trapp has emerged as the top target and Manchester United have offered him a lucrative contract to move to Old Trafford.
Eintracht Frankfurt want a considerable fee if they are to agree to sell their first-choice goalkeeper late in the window and are valuing him around €15m to €20m.
And according to German daily Bild, Ten Hag is personally pushing Manchester United to get a deal done for the 32-year-old.
The Manchester United boss admires Trapp and believes he has the skills he demands in a goalkeeper.
The Germany international is also sold on the move and is interested in moving to Old Trafford.
The possible switch is now down to Manchester United working out a deal with Eintracht Frankfurt before next week’s transfer deadline.
Ten Hag wants a goalkeeper signed before 1st September and Trapp is the man he wants to get in his squad.