House Democratic leaders have offered to support stricter deficit control measures to gain the support of Blue Dog Democrats for a fiscal 2010 budget agreement hammered out late last night.

House-Senate conferees reached a deal late Monday on a final budget resolution that lacks the assurances sought by the conservative Blue Dog Democrats in the House that both chambers were on track to adopt statutory pay-as-you-go controls.

House Speaker Nancy Pelosi , D-Calif., and Majority Leader Steny H. Hoyer , D-Md., drafted a letter outlining their commitment to make sure that new entitlement spending or tax cuts that would increase the deficit are offset with spending cuts or tax hikes elsewhere.

The Blue Dogs were meeting later Wednesday to discuss the letter and will decide at that time if they will support the budget agreement. Group leaders introduced a bill Monday night that they hope will be the vehicle for making such requirements a matter of law.

Both the House and the Senate plan to vote on the budget resolution Wednesday, in time for President Obama’s 100-day mark.

Katie Grant, a spokeswoman for Hoyer, said the letter by the House leaders includes a promise that the House will not consider certain future legislation that would increase the deficit unless it is offset.

The letter will cover such major future costs as future patches to prevent the alternative minimum tax from hitting more households, updating Medicare payments to doctors, adjusting the estate tax and continuing expiring middle class tax cuts, he said.

Hoyer said the letter contains “pretty strong language” that should assuage concerns Blue Dogs have about the huge budget deficits projected in the proposed fiscal 2010 budget resolution.

“We are in agreement with Blue Dogs that we are very serious about PAYGO,” Hoyer s