Evans is gearing up to take on three-time Grand Slam winner Stan Wawrinka in his opening match at Queen’s this lunchtime.
The Brit is on a 10-match winning run having secured Challenger titles in Surbiton and Nottingham in recent weeks.
Looking ahead, the 29-year-old would be open to playing alongside Murray once again.
The pair previously competed together at Indian Wells two years ago.
Murray is making his return from hip surgery at Queen’s Club in the doubles alongside Feliciano Lopez.
But he has yet to choose a team-mate for his home Grand Slam – and Evans has thrown his hat into the ring.
“I enjoyed playing with him last time,” Evans said.
“I never knew that [he was looking for a team-mate], so that’s the first.
“I haven’t been asked. If he asks, obviously I’ll play with him.
“It’s a no-brainer. He’s such a good tennis player. So, yeah.”
Evans’ form has him No 34 in the race to London for the ATP Finals – of which only the top eight players get in.
And he is pleased with how the grass season has gone for him so far.
“It was obviously two good weeks,” he added.
“Happy with the way I was playing, and, you know, I enjoyed both of the weeks.
“Perfect two tournaments for me to start the grass court season, really. Even if I didn’t win, it’s great preparation for this tournament.
“I’m happy with how they went, obviously, and hopefully play well tomorrow against Stan.”