Sam Allardyce insists he wants Yohan Cabaye to remain at Crystal Palace beyond the end of the season but understands the midfielder may leave.
The France international recently responded to reports of a potential summer transfer to Marseille by telling beIN Sports he was unsure "what the future holds", adding he was "open to all" options.
Cabaye, 31, has not yet become the success he was expected to be when he joined Palace for a then club-record £10million in 2015.
He maintains he is focused on their present battle against relegation, but Marseille have the funds to tempt Palace, and Allardyce said: "He would like to keep the club up.
"Reading between the lines, he would like to go to Marseille if they made a big enough bid for him.
"In today's world and today's society, if he does the job for us and keeps us up and Marseille offer us millions of pounds, then Steve (Parish, Palace's chairman) will say 'Should we or shouldn't we?'.
"But I would prefer to keep him.
"What happens in the summer? Who knows? There will be some comings, there will be some goings and that happens at every football club now. Too much these days."
On Saturday, Palace visit Premier League leaders Chelsea on the back of three successive victories in which they kept clean sheets, too.
They remain without the injured Patrick van Aanholt and, following Mathieu Flamini's return to training, Fraizer Campbell and James McArthur have become doubts.
Allardyce is nevertheless expected to retain much of his winning team, which will include the in-form Wilfried Zaha.
The winger recently chose to represent Ivory Coast over England, and Eagles chairman Parish accused the Football Association of overlooking clubs of Palace's stature.
The former England manager considered recruiting Frenchman Steven N'Zonzi for the senior team during his brief Three Lions tenure but, asked about Zaha, he responded: "Wilfried Zaha's in a very, very good place, and that's all I'm concerned about.
"Not 'Should it be England?'. It's the Ivory Coast, it's not going to change, he's at Crystal Palace, playing particularly well for us, playing particularly well for the Ivory Coast, scoring goals as well as making them.
"And I hope that continues from now until the end of the season. So the international side has no relevance for me whatsoever.
"Zaha is improving his game, maturing in his game, because of his experience over the years, but also the experience he'll gain at playing international football as well as playing for Palace in the Premier League.
"(England) is Dan (Ashworth's) and Gareth's (Southgate) baby now, not mine."