Henderson, 23, signed a new three-year deal with United in July and is sparking interest from Chelsea amid talks about a new contract. Romero, 33, is out of contract next year but United have the option of another year.
Romero moved to the Stellar Group agency which also represents Henderson earlier this year and Henderson would only be ready to return to United if he is promoted to first-choice goalkeeper.
Regular playing time is all the more essential for De Gea and Henderson next season ahead of the European Championship, with Henderson looking to oust Jordan Pickford on the English side and De Gea rivaling Kepa Arrizabalaga for the Spanish spot.
Romero has started the majority of United’s Europa League games this season and was in goals for the quarter-finals, semi-finals and final of the successful 2016-17 campaign, but Solskjaer declined to confirm whether he will start the last eight of Monday evening. tie with Copenhagen in Cologne.
“This is an obvious question. I think I have to be the most privileged coach in the world with the goaltending department, with Sergio, David and we have Dean Henderson coming back, top three, top goalies.
“This season has shown how important Sergio has been for us and, for me, David still performing. We will see what we do for the rest of the season and for the future. Difficult, yes. But it’s a nice problem to have.
“As you say, the competition for places is important, we are looking to have a competition for places. We have Dean, Sergio, David in the line. [Grant], the fantastic professional that he is, supporting them.
“It will be difficult to keep three of them at the club, so we’ll see what the decision is. “