An amplitude analysis of flavor-untagged B0sJ/pp decays is performed using a sample of 797±31 decays reconstructed with the LHCb detector. The data, collected in proton-proton collisions between 2011 and 2018, correspond to an integrated luminosity of 9 fb1. Evidence for a new structure in the J/p and J/¯p systems with a mass of 4337+74 +22 MeV and a width of 29+2612 +1414 MeV is found, where the first uncertainty is statistical and the second systematic, with a significance in the range of 3.1 to 3.7, depending on the assigned JP hypothesis.