Mr Rees-Mogg replied: "I can also reassure (Ms Vaz) that Father Christmas will be able to have a travel corridor, he will be able to come in, he won't have to be vaccinated.
"I have six children who are waiting with bated breath, who are filling out lists – their lists, you wouldn't believe how long they are. Schleich is very popular with my infant daughter."
Conservative MP Dean Russell (Watford) sought further reassurances that elves will be allowed to work in Santa's workshop.
He said: "I'm sure children around the world, including my own special nieces, were very pleased earlier this week when the Prime Minister shared on Twitter and confirmed that he had spoken to Father Christmas to confirm that he would be bringing joy to the world as he does every year on his sleigh.
"So, can (Jacob Rees-Mogg) please confirm that Santa's elves are also able to help in Santa's workshop this year so we can further reassure children around the world not to worry, because Santa is coming this Christmas to bring cheer as he does every year?"
Mr Rees-Mogg responded: "I'm sure the elves are busily working doing their magic work to ensure that the Christmas stockings will be filled for children across the world, and they I think count as key workers, they need to go into work to do their jobs, and whether they have to wear masks or not, I'm not entirely sure, I haven't yet found out.
"But I think we should no doubt have an adjournment debate on this important subject.
"But we can be pleased that Christmas is coming, presents will be delivered and we will be able to see members of our families over Christmas. So I think that is reassuring for one and all."