United are reported to have watched Tielemans on a regular basis and he produced a pair of solid performances during Anderlecht's Europa League quarter-final against the Red Devils last month.
"Youri Tielemans will be leaving Anderlecht. We will make an announcement about him in the upcoming week," Van Holsbeeck told VTM.
"There are still a few details that need to be ironed out, but Youri will normally leave the club before the end of the week.
"His move to Monaco is not 100 per cent done yet, but they are the club that has shown they are very eager to sign Youri."
Tielemans came through the ranks of the Anderlecht youth academy and made his first-team debut at the age of 16.
He has since developed into a key figure at the Brussels giants, making over 150 appearances in all competitions for the club.
The Belgium international scored 13 goals in 37 league appearances this term to help Anderlecht to the title.