Can I claim my husbands medical expenses on my income tax as he does not qualify to claim them?

[TurboTaxBrenda1]

Yes, you can claim your spouse's medical expenses. 

As per CRA- 

Who can claim medical expenses CRA?

Line 33099 – You can claim the total eligible medical expenses you or your spouse or common-law partner paid for any of the following persons:

• yourself.
• your spouse or common-law partner.
• your or your spouse's or common-law partner's children who were under 18 years of age at the end of the tax year.