Murray, 31, has spent nearly a year out of tennis with a hip injury but he will continue his comeback on Wednesday when he faces compatriot Kyle Edmund at Eastbourne.
Eurosport Player One Year Pass for just £29.99
If Murray can come through this tournament unscathed then he will have his sights set on Wimbledon and Delgado said that was the goal.
Laver Cup
‘Avengers assemble’ – Murray joins Team Europe for the Laver Cup
5 HOURS AGO
"In terms of Andy wanting to play, it's 100%. Wimbledon is the biggest event of the year. The desire to play is huge," Delgado told BBC Sport.
We have to take his body into consideration. Do we want it to happen? Of course, 100%. We are trying our best to get him fit for it.
This will be the third ATP Tour meeting between Murray and Edmund, who has risen to 18th in the rankings and become the new British No.1 in the former’s absence.
Delgado added that there was a balance to be struck between managing Murray’s return and allowing his competitive instincts against Edmund to take over.
"Andy is a huge competitor. Does he want to win the match against Kyle Edmund? Of course he does," he said.
"We have to keep it real and keep performing, working on his game and looking to be aggressive.

Kyle Edmund of Great Britain reacts during the mens singles first round match against Alex De Minaur of Australia

Image credit: Getty Images

"Andy has been incredible applying himself to every single stretch from a physical point of view. He's been very dedicated.
"He is feeling pretty good. He felt good yesterday after the match so we had a light hit, nothing crazy."
Wimbledon
Wimbledon order of play, Day 3 - When are Djokovic, Raducanu and Murray playing?
19 HOURS AGO
Wimbledon
'Remove them from the crowd' - Kyrgios angry at 'disrespect' from fans
A DAY AGO