A method for removing a fluid influx from a subsea wellbore drilled using a pump to return fluid from the wellbore to the surface. The method includes detecting the influx when a rate of the return pump increases. Flow from the wellbore is diverted from the return pump to a choke line when the influx reaches the wellhead. A choke in the choke line is operated so that a substantially constant bottom hold pressure is maintained while drilling fluid continues to be pumped through the drill sgring. Fluid flow from the wellbore is redirected to the return pump inlet when the influx has substantially left the well.