Morgan, who has hosted the current affairs programme with Susanna Reid for the past four years, made the statement during a conversation about his working relationship with Amanda Holden.
Recalling how he worked with Holden for four years on Britain’s Got Talent, Morgan told Reid that he hadn’t quite reached the four year work anniversary with her.
“I worked with Amanda for four years on Britain's Got Talent, I haven't quite done four years with you.
"It's in November, so Amanda has actually put more yards in than you have,” he told Reid.
Playfully questioning whether they will ever make it to the four year mark together, Reid quipped: “November is our four year anniversary, isn't it? Do you think you'll still be here in November?"
“I'll be here in November....January? Hmmm," he jokingly teased.
After Reid suggested that Morgan would try and get a bigger dressing room during negotiations for a new contract, the news anchor put her straight by teasing the possibility of landing a job in Australia.
"Contracts are contracts, I might get transferred,” he commented.
"Mega bucks, to Australia, Good Morning Australia, Good Morning Germany. Good Morning Shanghai...
"If the money's good enough, [I'm off]."
Despite their love-hate relationship on air, Reid recently explained how much she trusts her co-presenter with personal information.
“He constantly teases me and says I protest too much when people joke that we’re an old married couple,” she told the Mirror about Morgan.
“At the same time I also trust Piers with lots of secrets and personal stuff and I know that’s not going to appear on air.
"It’s just banter - as they’d say on Love Island.”