Mr Museveni's spokesman said the president would not sign the law until he had received the scientific advice.
Last week he said he had decided to sign the Anti-Homosexuality Bill, which parliament has passed.
The US - one of Uganda's largest aid donors - has warned that enacting the bill would complicate relations.
President Barack Obama described it as an affront, and a danger to, Uganda's gay community.
BBC regional analyst Richard Hamilton says President Museveni is trying to please a conservative local constituency while avoiding alienating Western aid donors.
Homosexual acts are already illegal in Uganda. Under the proposed legislation, those convicted could face life imprisonment.
The law would also make it a crime not to report gay people.
In a statement, Mr Museveni said: "I... encourage the US government to help us by working with our scientists to study whether, indeed, there are people who are born homosexual.
"When that is proved, we can review this legislation."
Presidential spokesman Tamale Mirundi told Reuters news agency the bill would be on hold for now "until more conclusive research is done, and that's what the president is saying".
Mr Museveni originally refused to sign the bill, saying that it was wrong to punish people who were born "abnormal".
But then a team of Ugandan scientists advised him that homosexuality was a behavioural choice and so should be punished.
The private member's bill originally proposed the death penalty for some offences, such as if a minor was involved or the perpetrator was HIV-positive, but that clause has been dropped.
Uganda already has legislation banning gay sex between men, but the proposed law sharply tightens restrictions - and covers lesbians for the first time.
Promotion of homosexuality - even talking about it without condemning it - would also be punishable by a prison sentence.
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