Context. Molecular outflows from very low-mass stars (VLMSs) and brown dwarfs have been studied very little. So far, only a few CO outflows have been observed, allowing us to map the immediate circumstellar environment. Aims. We present the first spatially resolved H 2 emission around IRS54 (YLW 52), a ∼0.1-0.2 M Class I source. Methods. By means of VLT SINFONI K-band observations, we probed the H 2 emission down to the first ∼50 AU from the source.Results. The molecular emission shows a complex structure delineating a large outflow cavity and an asymmetric molecular jet. Thanks to the detection of several H 2 transitions, we are able to estimate average values along the jet-like structure (from source position to knot D) of A V ∼ 28 mag, T ∼ 2000−3000 K, and H 2 column density N(H 2 ) ∼ 1.7 × 10 17 cm −2 . This allows us to estimate a mass loss rate of ∼2 × 10 −10 M yr −1 for the warm H 2 component. In addition, from the total flux of the Br γ line, we infer an accretion luminosity and mass accretion rate of 0.64 L and ∼3 × 10 −7 M yr −1 , respectively. The outflow structure is similar to those found in low-mass Class I and CTTS. However, the L acc /L bol ratio is very high (∼80%), and the mass accretion rate is about one order of magnitude higher when compared to objects of roughly the same mass, pointing to the young nature of the investigated source.