Premier League strugglers Burnley do have the option of recalling the 22-year-old after 28 days of the loan.
Edgar has made six appearances for the Clarets this season including defeats to Manchester United and Chelsea.
"I think it's a great chance for David to get some games because he's obviously frustrated," said Burnley boss Brian Laws.
"He wants to be in the team just as much as anybody else.
"I can't fit him in at this moment in time David is very much in our thoughts and I think getting him first-team games with Swansea, who are playing really good football and in a position where they are winning consistently, is a fantastic opportunity."
More to follow.
Source: BBC Sport
Source: BBC Sport