Negotiators said they hoped to finish voting before Monday, when Passover begins.
He finished fourth in Cy Young voting after the season.
After voters had finished voting, the counting machines will then count the votes received by each candidate in each position.
The senators agreed to finish voting on the bill on Wednesday.
The conferees are likely to finish voting on other provisions of the rescue package on Wednesday.
Republicans said they hoped to finish voting on a bill before they leave Washington for their summer recess at the beginning of August.
By then, two of the unions had finished voting and a third was close to finishing.
The tally in France ended around 1:30 a.m. and will be complete after overseas territories finish voting.
Dorsey also finished ninth in the 2007 Heisman Trophy voting.
Mr President, we need to finish voting on that report before any personal declarations are made.