The Colombia international striker was forced off after scoring in Monaco’s 3-2 Ligue 1 win over Lyon on Sunday with a recurrence of an old thigh injury and is set to be on the sidelines for the next four weeks.
Monaco sent him for tests to assess the damage and the indications are that he will be out until mid-March.
If the reports are right, Falcao will miss the upcoming league games with Angers, Dijon and Toulouse in what will be a blow to Monaco.
The former Porto and Atletico Madrid striker has scored 17 goals in 20 league matches this season to help the defending champions up to third place in Ligue 1.
Uwe Rosler was sacked by Fleetwood following a 3-0 reverse at Doncaster which condemned Town to a seventh straight defeat in all competitions.
Cambridge interim head coach Joe Dunne was pleased with how his side adapted to beat Grimsby 3-1.
Southend manager Chris Powell led the applause for Jason Demetriou after the right-back scored twice in the 3-1 win against Portsmouth at Roots Hall.
Morecambe boss Jim Bentley was the happier manager after Gregg Wylde's 90th-minute strike earned his side a point in their 1-1 draw with Forest Green.
Manager Gareth Ainsworth described Wycombe's 2-0 win at Cheltenham as a thoroughly professional performance.
Skipper Richard Wood scored the winner just before half time as in-form Rotherham pulled off a 1-0 victory at League One leaders Shrewsbury.