The 37-year-old former Great Britain and Scotland international joined Trinity’s coaching staff during the close season.
He also registered as a player, however, in case he was needed, and has now stepped up his training ahead of the busy Easter period.
“With the amount of people we had in his position, he was thinking ‘I’ll start training a bit later than I probably need to’,” said Webster.
“I reckon in two or three weeks, Lee will be getting closer to being able to play. He’s keen on doing it, we’ll see how he goes. It’s really hard mentally and physically after Easter and, if all things go well, he will be available.
“He’s a guy who has played 500 games but he’s still fit and he still knows how to play.
“Realistically we got him as a coach first and back-up player second. He understands that. We’ll see how he pulls up over the next few weeks.”
“It took a lot of work to get Jordan and George into our squad,” said Webster.
“With Easter coming up, not too many clubs were willing to entertain the idea of putting players out on loan.
“We’re happy that we’ve been able to add two new faces to our squad. Definitely one of them will play on Sunday, maybe not both, but over the Easter period both will play a lot.
“They’re here for five games, all in the space of around 15 days, so it’s going to be a busy period for us.”