Lord Addington asked what justification there was for dyslexic students to be reassessed to get help at university when they had already been diagnosed and received assistance at school.
For other disabilities and mental health conditions, a letter from a doctor is sufficient to prove eligibility.
However, for dyslexia and other specific learning difficulties, such as Dyspraxia and ADHD, a "diagnostic assessment" from a psychologist or suitably qualified specialist teacher is required.
Individuals must be reassessed for university if they were under 16 years old when they were last assessed.
According to the British Dyslexia Association, the cost of an assessment is £450 with a specialist teacher and £600 with an educational psychologist.
Lord Hunt said this meant students with dyslexia were "discriminated against".
Lord Agnew said: "In a working paper in 2005, where the British Dyslexia Association was part of the consultation group, the view then was that progress into higher education represented a major transition and that more adult-based assessments should therefore be used.
"The view was that adult needs change and an initial diagnosis in childhood may not apply in adulthood."
He also pointed out many universities now offered hardship funds to help cover the costs of assessments.
However, he agreed with Lord Addington that a review of the system was "overdue".