Dodd doubtful that bank tax will a part of financial reform

"I think we need to knock that [reserve fund] out and I hope we will," he told reporters, adding that he "wouldn't replace it with taxing people." 

There is also a timing issue with adding a bank tax to the financial reform bill. The Senate could wrap up its work on financial reform as earlier as next week, according to Shelby. But the Senate Finance Committee is not expected to complete its work on the bank tax until Memorial Day. 

Senate Finance Chairman Max BaucusMax Sieben BaucusBooker tries to find the right lane  Top Lobbyists 2017: Hired Guns GOP tries to keep spotlight on taxes amid Mueller charges MORE (D-Mont.) is slated to hold his first of three hearings on the bank tax tomorrow. 

In the House, Ways and Means Chairman Sandy Levin (D-Mich.) said his committee is just beginning to study the bank tax, meaning a bicameral consensus on the levy could be a long way off. 

"I think one way or another we are going to consider this issue as a financial fee or a tax on institutions that benefited from the [TARP]," he told an audience at the National Press Club. "There are various ways to go, asset versus income, for example. The administration has proposed one path and we have been in discussions intensely with the administration."