Billy King, who played under McKinnon at Dundee United, has been joining in recent sessions at The Falkirk Stadium, following his release from Tannadice this summer.
The 25-year-old spent the second half of last season on loan at Gillingham and previously had spells at Hearts and Rangers for whom he scored against Falkirk.
He has only played once since the start of February and has been building fitness in the sessions with the Bairns and it is understood a move is not on the immediate horizon.
Squad places at Westfield though remain tight, as do budgets and McKinnon would likely have to move players out – potentially on loan – before recruiting further.
MATCH PREVIEW: Stranraer v Falkirk