Murphy has been linked with a number of clubs in recent weeks including Sheffield United and appeared to wave goodbye to the home support after helping to secure a 2-2 draw with Kilmarnock.
After goals from Borja Perez and Paul Heffernan had put Killie two goals up on Saturday, Well hit back with a quick-fire double to wrestle a point from the Rugby Park side.
Murphy struck first for the home team, poking home a Nicky Law strike from close-range, before Henrik Ojamaa netted three minutes later, with the Estonian curling the ball off the left post after a neat run had taken him to the edge of the area.
Steelmen boss Stuart McCall embraced the departing striker at full-time and encouraged the fans to give him what seemed to be a farewell applause.
"In the last few seasons it's been a pleasure to play with Jamie," said Lasley.
"If he goes it will be with the blessing of the squad, the club and the fans – he's given them some memorable moments and I'm sure he will go on to bigger and better things.
"Jamie loves the club and it's here where he was given his big chance. I don't think he would have a bad word to say about Motherwell."
Supporters in every stand rose to their feet in the 10th minute as a tribute to former Motherwell captain Phil O'Donnell who tragically died after collapsing during a fixture with Dundee United exactly five years to the day.
Lasley was touched by the tribute to his former captain and felt the 'Well comeback was fitting of the occasion.
The 33-year-old added: "It was an emotional moment, I have spoken before about how much of a pleasure it was to be able to play alongside and be a friend of Phil.
"We knew there was going to be a tribute and it was a nice touch from the fans – hopefully our comeback was a fitting tribute as well."
Kilmarnock manager Kenny Shiels meanwhile hopes his Rugby Park side can push on when their fixture list restarts after hogmanay.
The Ayrshire club claimed the Scottish Communities League Cup crown by defeating Celtic in the final earlier in the year and ended 2012 by stretching their unbeaten run in the league to four matches.
"We're doing okay," he said. "We've got a point at Fir Park, which I think is a good achievement having visited there under strength.
"We've had a good December and a good 2012. It's been a great year for Kilmarnock –let's kick on and see if we can improve on that."