Morgan, who will lead England himself in Thursday's international Twenty20 against India in Pune, knows Strauss especially well thanks to their shared connections for club and country. The Irishman is a Middlesex player, as was Strauss until his retirement last summer.
Reports on Wednesday suggested Strauss, whose successful tenure as Test captain ended four months ago, may be considered for a consultancy role by the England and Wales Cricket Board. "It sounds like a great idea," said Morgan.
"When I first came into the team, Straussy was captain - and the amount I've learned from him both on and off the field, things about life in general, he certainly took me under his wing."
Morgan, taking charge of the Twenty20 team here in the absence of injured regular captain Stuart Broad, is confident Strauss could help others prosper too.
"I used him [his advice] to maximum effect.
"The things I learned, if he can pass them on to younger guys coming through or the next guys in line, it will be a massive benefit for English cricket."