Trump, 35, has won 30 ranking titles during his decorated career but his 2019 victory at the Crucible is his sole World Championship triumph.
He defeated fellow Englishman Hawkins to win a second UK Championship title in December, a success that helped him to break the record for the most prize money won in a single season.
He plays China’s Zhou Yuelong in round one (19:00), while Murphy starts his best-of-19 match against Crucible debutant Daniel Wells in Tuesday’s morning session (10:00).
It is 20 years since Murphy, now aged 42, won the 2005 World Championship as a qualifier and his form in recent months has given him confidence for another shot at the sport’s biggest prize.
“In previous years I’ve come here hoping for a good performance, whereas this year I know I’m going to play well,” the world number 15 told BBC Sport.
“My game’s in really good shape and I’m really looking forward to getting going. Does that mean I’ll be here come the weekend? Who knows?
“I’ll try my best, I’ve tried my best every years for the past 20 years and I’ve never managed to recreate the magic of 2005, but it’s not been for the lack of trying and this year will be no different.”