The Democratic president was to fly today into Dar es Salaam, Tanzania, the last stop on a weeklong tour of Africa that wraps up tomorrow.
His Republican predecessor coincidentally also plans to be there for a conference on African women organised by the George W. Bush Institute.
Their wives plan to team up at the conference Tuesday for a joint discussion on promoting women's education, health and economic empowerment.
Initially aides said the men had no plans to meet, but Obama foreign policy adviser Ben Rhodes indicated yesterday, that it could change.
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"There may be something," Rhodes said.
Having both presidents in town "sends a very positive message that both political parties in the United States share a commitment to this continent," Rhodes said.
During his African visit, Obama has credited Bush with helping save millions of lives by creating the President's Emergency Plan for AIDS Relief.
Bush's accomplishment in fighting AIDS was one of his signature foreign policy successes, while Obama has not been so focused on Africa despite his roots there and only now is making a major presidential trip to sub-Saharan Africa.
Obama's only previous visit as president was a brief visit to Ghana his first summer in office, although he travelled to Africa several times previously and has vowed to come back. Obama told reporters earlier in the trip that finances and politics play a role in preventing him from doing more.
"We could do even more with more resources. But if we're working smarter, the amount of good that we can bring about over the next decade is tremendous."
Any visit with Bush would have to fit into a busy schedule for Obama.