De Gea joined the Red Devils from La Liga side Atletico Madrid in the summer of 2011, filling the void of the retired Edwin van der Sar.
The Spaniard struggled for form during his early days in England as he was fighting for his place in the team with Denmark goalkeeper Anders Lindegaard.
De Gea has been linked with a move away from Old Trafford following a series of poor performances and the prospect of Henderson, who has impressed in his two-year loan spell at Sheffield United.
The Madrid-born star is contracted to the Manchester-based club until 2023, after signing a new deal in September, and in an interview with the club’s official site the 29-year-old says it is "like a dream" to be approaching 10 years at the club.
"Yeah, I'm getting older. Just to be a part of this club is amazing,” De Gea said.
"So imagine, to be nearly 10 years, it's like a dream. It's great to play games with this club, so I hope I can be here more years, many years."
After a poor start to the 2019-2020 season, Manchester United seemed to have steadied the ship since the turn of the year, mounting an eleven-game unbeaten run before the season was halted due to the coronavirus pandemic.
De Gea is hopeful Ole Gunnar Solskjaer’s men can pick up from where they left off when the season resumes.
"I think the whole team improved a lot [before lockdown]," he added. "We were in a good moment.
"I think we were in very good, top form, we didn't concede many goals, and of course with Bruno [Fernandes] he brings a lot of quality.”
“He's a clever player, a top midfielder, the team improves with him and it was a pity that everything stopped because we were in a good moment.”
"But hopefully with some players that were injured will be fit when it all starts again, so it will be a good challenge for everyone."
