He has previously played at Bloomfield Road, in their promotion winning 2009/10 campaign.
The Scotsman scored in the Swans 4-2 Play off final victory over Reading last May, but hasn't featured regularly this term.
'With just nine games to go it will be good for him to get some games' Brendan Rodgers told the official club website.
No doubt Dobbie will be keen to assist Ian Holloway's Tangerines in their bid to secure promotion back to the Premier League after just one season away.
The 29 year old was a regular fixture for the Welsh club last season, making 26 appearances but has only made 2 starts this campaign.