The orbital angular momentum [OAM] of light and its applications in quantum telecommunication and cryptography has recently attracted scientific attention. In this context also entanglement and the implications of the Einstein‐Podolsky‐Rosen [EPR] experiment have experienced a renewed interest. In an attempt to find an experimentally feasible criterion for the demonstration of an EPR paradox for the conjugate variables of OAM and the azimuthal position, we study quantum correlations in these variables of down converted photons. We include a model for the uncertainties inherent to the measurement and discuss the effects of these uncertainties on the proposed criterion.