It comes after an amendment tabled by the SDLP and others in an attempt to get the legislation through Westminster.
Mr Eastwood said the legislation would be lifesaving and life-changing for those requiring organ transplants.
Said the Foyle MP: “I’m delighted that Dáithí’s Law is set to get over the line this week at Westminster and the SDLP will be there giving it our full support.
“This important legislation should have been progressed at Stormont long ago, but the important thing is that it will now be introduced and provide renewed hope to those on organ transplant waiting lists.
“This progress, despite significant challenges, is testament to the work of Dáithí MacGabhann’s family who have fought so hard to make this a reality.
“They know better than anyone what it’s like to have a loved one in need of a transplant and their determination to help those in a similar position and their refusal to take no for an answer has been truly inspiring.
“The MacGabhann family should be so proud of all that they have achieved throughout their campaign.
“As a result of this legislation people’s lives will be saved and others will be significantly changed for the better.
“I can think of no greater legacy than that and am looking forward to being in the House of Commons on Wednesday to help get this vital Bill through.”