Alfei, captured for the rest of the season on Monday following right back Nicky Hunt’s departure to Leyton Orient, looks set to make a debut against Morecambe on Saturday.
Murray said: “I know his contract is up with Swansea at the end of the season.
“So there might be a chance that if he does well for us we can put something together to lure him here.
“The bigger picture is that it could work for all of us.
“Dan is 23, so it’s not like we are taking one of the U21s.
“Swansea wouldn’t let him out on loan this season as he was in and around the first team and they had a couple of injuries early on. They wanted to keep him around their squad. But now they have let him out.”
Murray added: “We only had 48 hours, but we did as much digging as we could to find the best replacement for Hunty.
“It was a case of do we go for someone of a similar age bracket with experience or do we get something we feel has the attributes but may need a bit of work in certain areas, but would bring a bit more to the team with more ability and pace.
“Dan is very good with the ball. You don’t go to Swansea if you don’t like the football.
“But he will need tweaking in certain areas as coming from Swansea to League Two, it’s a big difference in certain areas.”