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Jason Evans from Coventry is among signatories to hand over a letter on Monday amid complaints the government is dragging its heels over the issue.
Government's ministers are set to appear before the Infected Blood Inquiry this week.
"People are dying without seeing any acknowledgement," said Mr Evans.
The inquiry was established in 2017 to examine how thousands of patients in the UK were infected with HIV and hepatitis C through contaminated blood products in the 1970s and 1980s.
About 2,400 people died in what has been labelled the worst treatment disaster in the history of the NHS.
Commons Leader and former paymaster general Penny Mordaunt is to give evidence on Monday with Prime Minister Rishi Sunak appearing on Wednesday. Chancellor and former health secretary Jeremy Hunt is due to appear on Friday.
Surviving victims and families of the bereaved received interim compensation payments of about £100,000 from the government in October.
But the chairman of the infected blood public inquiry, Sir Brian Langstaff, said the scheme should be widened so more people, including orphaned children and parents who lost children - could be compensated.
Mr Evans was four years old when his father Jonathan, a carpenter, died in 1993 after he contracted both HIV and hepatitis C during treatment.
"We need action to happen now because people are dying, not just people infected but the bereaved families as well," he said.
"We know that 380 children were infected with HIV, many of those died in childhood, and their parents are now in their 80s.
"We know of people who have died only recently," he said.
"This delay denies victims and their families any sense of tangible progress," the letter from relatives to the government said.
"Many continue to die without full redress, this can not be right.
"The interim payment for deaths not yet recognised is critical."
A government spokesman said it "accepts the moral case for compensation and work is ongoing across the UK Government and in consultation with the devolved administrations to consider as quickly as possible the recommendations put forward in the inquiry's second interim report."