Garrett's cited Gov. Greg Abbott's current order, which recommends residents avoid public swimming pools due to the coronavirus pandemic.
Along with its pools, Garrett said the city's splash pads did not open April 1 and are not expected to open at the end of May. Garrett said the splash pads are "destination amenities and draw large numbers," which make enforcing social distancing more difficult.
"We need more guidance before we can make decisions and put a date out to the public," Garrett said.
Also closed to the public is Blue Hole Park, the city's lagoon. Garrett said the park was closed April 2 following repeated violations of social distancing provisions. An opening date for the lagoon has not yet been determined.
All other Georgetown city parks remain open for public use of its trails, Garrett said. She advised residents to continue practicing social distancing measures and added that once the city receives more details on a reopening timeline for its park and aquatic facilities, further information will be provided.