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Data collected by the D0 detector at a pp center-of-mass energy of 1.96 TeV at the Fermilab Tevatron Collider have been used to search for pair production of the lightest supersymmetric partner of the top quark decaying into bℓν. The search is performed in the ℓℓ′ = eμ and μμ final states. No evidence for this process has been found in data samples of approximately 400 pb-1. The domain in the [M(t1),M(ν)] plane excluded at the 95% C.L. is substantially extended by this search.