Leyton & Wanstead MP John Cryer declared: "This Government continues to show appalling levels of judgement on vital policy matters.
"It comes on the back of the forest sell-off U-turn and is one of the statutory duties that Government proposes to abolish. This must not be allowed to happen."
Cryer added: "The consultation ended on 25 April, a bank holiday and is a total sham. I have urged the communities secretary to extend the consultation period."
Donna McDaid, secretary of the National Society of Allotment & Leisure Gardeners, said: "The Government always encourages us to be environmentally friendly and reduce carbon footprints.
She said around 330, 000 plots in England and Wales produced equivalent to 241,560 tonnes of food.
Ann Williams, an allotment holder in Leyton, said: "This policy would be a retrograde step. Demand for allotments is growing."