The phrase "despite enjoying" is correct and usable in written English.
You can use it when describing a situation in which a person is doing something despite the fact that they are enjoying it, for example: "Despite enjoying the party, he decided to go home early."
"Despite enjoying the book, I felt uneasy throughout the time I spent reading it.
But de Chirico was no sort of pop artist, despite enjoying the homage.
Yet despite enjoying another successful spell he did not want to draw comparisons between the two teams.
Marvel at the snorting, fat, untameable beast, kicking in all directions, despite enjoying acres of paddock all to itself.
Despite enjoying relative freedom of expression since 2011, most Tunisian media is still owned by the same people as in the years of dictatorship.
But a fast-growing middle class, despite enjoying gory outings, is also fond of pet dogs and cats.This creates conflict with ancient eating habits.
Yet despite enjoying sales equivalent to more than $100 billion a year, it barely ekes out a profit (averaging a meagre 2% margin over the past decade).
Despite enjoying a glittering career for Liverpool, the Three Lions' captain has been criticised for failing to reproduce that form on the international stage.
Next match: Scotland, Sunday 27 September (Pool B) ▼ 2 A highly dispiriting defeat to Georgia despite enjoying so much of the ball.
Despite enjoying an extra man advantage for much of the match, Manchester United were unable to avoid an embarrassing defeat to Kansas City Wizards in a friendly tonight.
Despite enjoying plenty of possession the Belgians were largely restricted to long-range shots from Chadli and Witsel that M'Bolhi proved himself equal to.
