The Blues have entered the race for the highly-rated Lyon striker Moussa Dembele, the Daily Mail reports.
Moussa is a target for the Red Devils and was watched by a scout from Manchester United on Saturday night as he netted at Toulouse.
But the Blues are exploring a move for the ex-Celtic striker next summer.
United view Moussa as a good option for the January transfer window as they look to improve their forward variants.
Yet it is understood Les Gones might want to hold onto the Frenchman until the summer to maximise his market value.
He is more settled under new head coach Rudi Garcia than previous boss Sylvinho and less likely to push for a transfer in January.
Should Batshuayi and Giroud depart, England international Tammy Abraham would be club’s only striker.
And that could suit the Blues, who are in the middle of a transfer embargo that will likely last until the summer window.
The club will take their appeal over the ban to the Court of Arbitration for Sport in late November, with a verdict set to be given before the January transfer market.
The Blues could lose Michy Batshuayi and Olivier Giroud by then, leaving Tammy Abraham as their only recognised senior centre-forward.
Given their fine start to the campaign under Frank Lampard, they are likely to need more options to attempt and compete in the Champions League.