(CNN) Former President George H.W. Bush is awake, alert and talking after he was admitted to intensive care earlier this week, a family spokesman said Tuesday.

Bush, 93, was admitted to the Houston Methodist Hospital Sunday morning after contracting an infection that spread to his blood, family spokesman Jim McGrath said, a day after a funeral was held for his wife, Barbara Bush.

According to McGrath, the 41st President has said he is determined to get healthy and get to Maine this summer. On Monday, McGrath said Bush was "responding to treatments and appears to be recovering."

According to a source close to the former Republican President, Bush was admitted to the hospital with an infection that led to sepsis, which can be life-threatening. He was in critical condition, the source said.

The source added that Bush's blood pressure kept dropping and a couple of times there was serious concern about whether he was going to come through, but that he had been stabilized.

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