The Blues sweltered through stifling conditions at training on Wednesday as the mercury soared towards 41 degrees.
Murphy ran laps around the outskirts of the oval as he continues to recover from a minor operation on his shoulder.
Matthew Kreuzer and Andrew Walker were among 10 players on modified programs in the club's rehab group.
Adelaide recruit Sam Kerridge joined Murphy for some laps and prior to the session spoke of his desire to break into Carlton's side on a permanent basis.
Gallery: Check out the best snaps from Wednesday's session
Kerridge was traded to the Blues in exchange for forward Troy Menzel in last year's player exchange period. Carlton also gained pick No.28 in last year's draft as part of that deal.
The blonde-haired midfielder, who played just one senior game with the Crows in 2015, said he was eager to make a big impression at his new club.
"Everyone wants to play at the highest level and I'm no different," Kerridge said.
"It's really made me hungry to make a big impact this year."
Kerridge played some good footy in the SANFL last season but could not get a look-in in a deep Crows midfield, led by Patrick Dangerfield and Rory Sloane.
With Dangerfield departing for Geelong, it crossed Kerridge's mind to stay in Adelaide but he ultimately decided he needed to refresh his career.
"It's definitely been a bit of a freshen up. I've loved the vibe around here and I'm looking forward to what's come up," Kerridge said.
"It always crosses your mind (to stay). You've got to weigh up the pros and cons, but I got in contact with SOS (list manager Stephen Silvagni) and I really liked what they had to offer so I'm really looking forward to it."