Frecklington has had a season blighted by injury problems and will now not feature until the end of March at the earliest.
Manager Darren Ferguson said: "Lee has had a really bad run of injuries and it is very disappointing for him and everyone at the club.
"He will be out for a month or so but I'm hoping that his return could be important and at a good time for us.
"He could still have a big part to play for us."
Source: PA
Source: PA