Marsh was forced to make an early return to bowling in the Shield draw against Queensland when Jason Behrendorff suffered a cruel injury blow.
The 26-year-old took two wickets against the Bulls after not expecting to bowl before the KFC Big Bash League later this month.
"The body is a bit sore as expected after coming back to bowling, but the shoulder pulled up really well," Marsh said.
"I guess it was a bit of an unknown as to how it was going to pull up but we're really happy and I'll have another bowl against Victoria.
"JL and Jonesy (Coach Justin Langer and Head Physiotherapist Nick Jones) gave me six overs to bowl and I let myself bowl nine.
"Against Victoria I don't really have a number of overs I'm aiming to bowl for, I guess we're lucky because we've got so many strong bowlers in our line-up and I am first and foremost the WA captain."
Ashton Agar returns from injury to be named in WA's 13-man traveling squad.
The left-handed spinner fractured his right little finger during Australia's Qantas Tour of India two months ago and has made full recovery from surgery.
All-rounder Marcus Stoinis is back in after missing the last match on personal leave.
Behrendorff and David Moody have been left out of the lineup due to injury.
"Ashton returned to Premier cricket last weekend and successfully batted and bowled, and has been selected in the traveling squad," said Nick Jones.
"Jason Behrendorff experienced increased lower back pain after day two of the Shield match against Queensland and was unable to bowl in the second innings.
"Jason will have further investigations as to the cause of his increased lower back pain this week that will guide his rehabilitation plan.
"David Moody has been diagnosed with a lumbar stress fracture after experiencing increasing back pain over the past week.
"David will require an extended period of rehabilitation to ensure he is given the best chance of the injury healing completely.
"The recovery period to return to bowling is expected to be four to six months."