All three of those players are set to become unrestricted free agents July 1, and all three are expected to be dealt by the March 2 trade deadline.
While Francis entertains offers for them, he's also received calls about Skinner, who has four-years left on his contract beyond this season.
Skinner, 22, has struggled this season, picking up 13 goals and nine assists for 22 points in 52 games, so far.
According to one league source, Francis seems willing to listen to what other teams have to say, but is not actively trying to trade the Toronto native.
It's believed the Vancouver Canucks, Toronto Maple Leafs and Anaheim Ducks have expressed some level of interest in Skinner, but a trade is not imminent and isn't likely to occur by March 2.
If teams get serious about Skinner, trade discussions could pick up steam in the off-season around the NHL Draft in late-June.