Draper, 24, has struggled with a catalogue of injuries in his career and will skip this month’s French Open because of a knee tendon problem.
The 2024 US Open semi-finalist has tumbled down the rankings as a result of his prolonged absences and is set to drop outside of the top 75 after the Italian Open.
He plans to return for the grass-court swing after Roland Garros, but has yet to finalise his schedule.
A comeback at the start of June in Stuttgart – where Draper won his first ATP title in 2024 – remains a possibility, with Queen’s in London taking place a week later.
Draper hired Delgado, who worked with Murray when he became world number one, as head coach in October.
However, they only worked together at four tournaments this season because of Draper’s injury problems.
The left-hander did not play competitively for almost six months after last year’s US Open because of a bruised humerus bone in his serving arm.
After playing one match for Great Britain in the Davis Cup tie against Norway, Draper returned to the ATP Tour later in February in Dubai.
But he has played only eight tour matches since and cut short his clay-court season after retiring injured with the knee problem in Barcelona.
