An apparatus includes a tubular member defining a lumen and a channel, and a support member. The tubular member has a connection portion configured to be coupled to an organ wall. An outer edge of the connection portion is configured to contact a first portion of an inner surface of the wall when the connection portion is in an expanded configuration such that an interior volume of the organ is in fluid communication with the lumen. The support member is movably disposed within the channel and is configured to minimize movement of the wall relative to the tubular member. An end portion of the support member is disposed within the channel when the support member is in a first configuration. The end portion of the support member configured to contact a second portion of the inner surface of the wall when the support member is in a second configuration.