  Short-period Galactic white dwarf binaries detectable by LISA are the only
guaranteed persistent sources for multi-messenger gravitational-wave astronomy.
Large-scale surveys in the 2020s present an opportunity to conduct preparatory
science campaigns to maximize the science yield from future multi-messenger
targets. The Nancy Grace Roman Space Telescope Galactic Bulge Time Domain
Survey will (in its Reference Survey design) image seven fields in the Galactic
Bulge approximately 40,000 times each. Although the Reference Survey cadence is
optimized for detecting exoplanets via microlensing, it is also capable of
detecting short-period white dwarf binaries. In this paper, we present
forecasts for the number of detached short-period binaries the Roman Galactic
Bulge Time Domain Survey will discover and the implications for the design of
electromagnetic surveys. Although population models are highly uncertain, we
find a high probability that the baseline survey will detect of order ~5
detached white dwarf binaries. The Reference Survey would also have a
$\gtrsim20\%$ chance of detecting several known benchmark white dwarf binaries
at the distance of the Galactic Bulge.
