At 0803 GMT, commercial banks quoted the shilling at 3,435/3,445 to the dollar, compared with Friday's close of 3,443/3,453.
"If there is to be a bias, then we will see a bias towards dollar demand," Benon Okwenje, a trader at Stanbic Bank Uganda said.
But he added: "People are still taking a wait and see attitude to see what happens in the aftermath of the elections."
Uganda's Electoral Commission declared Museveni, in power since 1986, the winner of the Feb. 18 vote, but his main challenger has disputed the outcome.
By: Reuters.
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