A search for the doubly charmed baryon Omega(+)(cc) with the decay mode Omega(+)(cc) -> Xi(+)(c) K-pi(+) is performed using proton-proton collision data at a centre-of-mass energy of 13 TeV collected by the LHCb experiment from 2016 to 2018, corresponding to an integrated luminosity of 5.4 fb(-1). No significant signal is observed within the invariant mass range of 3.6 to 4.0 GeV/c(2). Upper limits are set on the ratio R of the production cross-section times the total branching fraction of the Omega(+)(cc) -> Xi(+)(c) K- pi(+) decay with respect to the Xi(++)(cc) -> Lambda(+)(c) K- pi(+) pi(+) decay. Upper limits at 95% credibility level for R in the range 0.005 to 0.11 are obtained for di fferent hypotheses on the Omega(+)(cc) mass and lifetime in the rapidity range from 2.0 to 4.5 and transverse momentum range from 4 to 15 GeV/c.