Bush, 93, is feeling "good" and focused on the Houston Rockets' Wednesday night National Basketball Association playoff game, a statement from his office said.
The 41st president was admitted to Houston Methodist Hospital on Sunday morning, the day after the memorial service for Barbara Bush, his wife of 73 years.
She died on April 17 at the age of 92.
Bush has been moved from intensive care to a regular room at the hospital, where he is "expected to continue his recovery there for several more days," his office said.
It had earlier announced that Bush had contracted an infection that spread to his blood.
"He is alert and talking with hospital staff, family and friends," the office said on Wednesday.
"His doctors are very pleased with his progress."
With a win on Wednesday night the Rockets can clinch the first round playoff series which they lead three games to one against the Timberwolves.
Bush, who suffers from Parkinson's disease and is wheelchair-bound, has been hospitalized on several occasions in recent years.
He attended his wife's funeral along with three other former presidents: his son George W. Bush, Bill Clinton and Barack Obama.
The elder Bush was elected president in 1988 but served only one term, going down to defeat against Democrat Clinton in 1992.
(Except for the headline, this story has not been edited by NDTV staff and is published from a syndicated feed.)
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