Dissolution of amyloid aggregates with high β-sheet content is required for the correct refolding of ordered protein aggregates. The dissolution of bovine insulin amyloid aggregates in five different ionic liquids (ILs) is investigated. These were comprised of three 1-butyl-3-methylimidazolium ([bmim])-based ILs, containing either SCN−, NO3−, or Cl− anions, and two alkylammonium nitrate-based ILs, ethyl- and propylammonium nitrate (EAN and PAN). A broad IL concentration range (x=0–30mol-% IL) was analysed using FTIR spectroscopy combined with the Congo red assay. On the whole, the [bmim]-based ILs showed a higher dissolution ability than EAN and PAN for all concentrations of x. It is notable that the dissolution ability of dilute aqueous IL solutions (x<15) for insulin amyloid was different to that of concentrated aqueous IL solutions (x>15). The former condition for insulin amyloid may affect dissolution based on the denaturant effect of cations and anions in the ILs. The latter condition may affect this dissolution based on the hydrogen-bonding ability (α and β values) of the ILs, as described by the Kamlet–Taft parameters. Moreover, the difference between these α and β values (α–β) was found to be a good indicator of the dissolution ability of ILs for insulin amyloid aggregates in concentrated conditions above x=20 (α–β<0, strong dissolution ability; α–β>0, weak dissolution ability). These findings may assist the future design of aqueous IL-based dissolution agents for ordered aggregated proteins.