The Red Devils face losing David de Gea to Real Madrid, and would be able to re-invest the transfer fee towards Lloris.
Tottenham appear reluctant to cash in on the goalkeeper, but at a high price they may struggle to keep the Frenchman if he is truly discontented.
The fact there is a top class replacement available to sign could soften the blow, should Tottenham be able to secure Petr Cech's services.
The goalkeeper is preparing to leave Chelsea this summer after losing his starting place to Thibaut Courtois, and has been linked strongly with a move to Arsenal. The Telegraph reported Chelsea would begrudgingly allow him to join a Premier League rival.
Cech has been outstanding for Chelsea over the past decade, winning multiple league and cup medals, and as a sign of respect the Blues have said they will let him choose his next club, even if it means him switching to another London club.
The goalkeeper is still just 33-years-old, with plenty of time left in his career, considering Spurs have just seen Brad Friedel retire at the age of 44.
The Telegraph link Cech at being available at just £10 million, which is around a third of the price Spurs could command for Lloris.
Losing their first choice goalkeeper may be unthinkable, but if they are able to sign Cech, arguably an upgrade, then it is very likely Lloris would not be missed at White Hart Lane should the club look to cash in.