Red Devils boss Louis van Gaal was understood to be eyeing a move for his former Netherlands star this January, yet a £30m deal is believed to be off the agenda.
Roma president James Pallotta is desperate to ensure that the 24-year-old stays at the Stadio Olimpico and is ready to reject any bids before the current transfer window closes.
However, LVG will not be put off, with and end of season bid on the agenda.
The delay will also allow the United chief to get a better idea of Strootman’s recovery from a serious knee injury – which ruled him out for much of 2014, including the World Cup.
Had he not been out with the problem, Van Gaal would almost certainly have taken him to Brazil, with the pair thought to have a good working relationship following a lengthy time in the Oranje set-up.