The group tweeted the star about the track, which was originally written and released by TLC in 1995.
Allen said: "Jesus h Christ , who dun that TLC cover ?", to which Stooshe replied: "us and @FutureCut.. U know the guys who made your 1st record :) xx"
Production duo Future Cut - made up of Darren Lewis and Tunde Babalola - worked on Allen's debut album Alright, Still and have executive produced Stooshe's self-titled debut, which is out on November 26.
Stooshe's 'Waterfalls' is available to download from November 4. The track will be released as a double A-side with 'See Me Like This'.
> Read Digital Spy's review of 'Waterfalls'
Watch the 'Waterfalls' video - which features TLC members T-Boz and Chilli - below: