Motion in and around small mesoscale eddies is studied. The model is composed of an upper layer, a motionless and infinitely deep lower layer and the water mass that intrudes between the two layers. This water mass is deformed from a cylinder to a lenslike shape during intrusion. Assuming that potential vorticity (with a relative vorticity of zero before the intrusion) is conserved during the process of intrusion, rotation in and above the radically symmetric intruding mass is determined for a steady state established after intrusion. The rotation is anticyclonic in and above the intruding mass and is fastest at the rim of the mass. In the asymptotic case of the small intruding mass, the azimuthal velocity in the mass exceeds the velocity in the water above the mass. The velocity above the mass tends to be comparable to the velocity in the mass as the mass radius approaches the deformation radius.