Fast bowler Glenn McGrath might rejoin the Australian cricket team on their tour of West Indies if his wife Jane's treatment goes well, the Australian Cricket Board (ACB) announced on Tuesday.

Jane is undergoing treatment for cancer.

The ACB said in a statement that McGrath may return to the Caribbean for the final two tests.

"Subject to Jane McGrath's reaction to cancer treatment in the coming weeks, the Australian Cricket Board (ACB) confirmed on Tuesday that fast bowler Glenn McGrath will resume his place on the tour of the West Indies later this month," the statement said.

McGrath quit the tour last week and flew home to comfort his wife after she was diagnosed with a secondary cancer infection in her hip. Jane previously made a successful recovery from breast cancer.

McGrath's decision to rejoin the team came after a specialist said Jane's condition was not as bad as feared. She will still undergo radiation therapy but is expected to make a full recovery.

The ACB said McGrath would most likely join the squad ahead of Australia's tour match against the University of West Indies in Barbados on April 26.

He would miss the first two Tests of the four-match series but would be available for the Third test, starting on May 1 in Bridgetown, Barbados.