Eight MPs have backed another motion by Lynne Featherstone, the Liberal Democrats' spokeswoman on equality, calling for the ad to be restored because the scenes were "in no way offensive or indecent".
Heinz withdrew the ad, for its Deli Mayo brand, last week after the Advertising Standards Agency received more than 200 complaints. Abbott said: "I cannot find anyone who was offended by the ad. But I have spoken to lots of people who think that the way Heinz pulled the ad was silly and offensive."
The text of her motion says: "Millions of children watch depictions of same-sex relationships in soap operas every day." It continues that the ad was "not intended to be a realistic depiction of a same-sex relationship, and was intended to be humorous".
To view the ad, visit brandrepublic.com/campaign.