A system includes an overflow distributor and a support member. The overflow distributor includes a first sidewall, a second sidewall opposite the first sidewall, and a floor extending between the opposing first and second sidewalls. Interior surfaces of the first sidewall, the second sidewall, and the floor cooperatively define a trough configured to receive molten glass. Exterior surfaces of the first sidewall and the second sidewall are configured to direct molten glass that overflows the trough. The support member is disposed between the opposing first and second sidewalls of the overflow distributor and abutting an exterior surface of the floor of the overflow distributor.