Guitarist Johnny Marr recently told fans that the '80s band will reunite if the current coalition government steps down.
Labour's former Deputy Leader Lord Prescott tweeted to Marr: "Hello Johnny. Just to say we'll work really hard on that reunion! #pleasepleaseletmegetwhatiwant"
Prescott then added: "Please reform," followed by the hashtag, "#cosheavenknowsweremiserablenow".
Songwriter Marr said at the NME Awards earlier this week: "We won't be reforming this week. Maybe if the government stepped down. If this government stepped down, I'll reform the band.
"How's that? That's a fair trade, isn't it? I think the country would be better off, don't you? I'll do it if the coalition steps down."
The Smiths were handed the 'Best Re-issue' prize at Wednesday's NME Awards for their Complete Re-issues series.
Lead singer Morrissey has consistently denied Smiths reunion rumours in the past.
Watch the video for Smiths classic 'Heaven Knows I'm Miserable Now' below: