"The purpose for why we wanted that legislation to pass has been served in that members have gotten more information on a major foreign policy issue that they ever [would] have," Cardin said on Thursday.
In May, the Iran Nuclear Agreement Review Act was signed into law, with the support of 98 out of 100 US Senators.
Cardin, who opposed the Iran nuclear deal, was the primary co-sponsor of the legislation that gave the Congress a voice in whether the United States would implement the nuclear agreement, and relieve its economic sanctions on Iran.
Cardin said that all members of the Senate "have been able to express themselves," through the debate and the vote on Thursday, as well as throughout the 60 day review period that started in July.
Republicans have scheduled a repeat vote for September 15 to challenge the outcome of the Thursday decision to approve the nuclear deal.
"[On] Tuesday it is going to be the exact same vote, from what I can tell," Cardin said. He added, "I do not see any votes changing."
As it is currently scheduled, the Senate will follow the same procedural rules for the upcoming vote, Cardin explained.
Unless McConnell "decides something different," Cardin said, the opponents of the Iran deal will need to muster 60 votes in order to move the resolution forward.
