Apply for graphic design jobs and placements, even though you have an illustration portfolio. Larger agencies love to have someone in-house than can do illustartion (and design) because they don't have to employ freelance illustrators. Lots of illustrators end up working as 'graphic designers', even if a certain % of their job is illustration.
However, large parts of the design industry is really struggling at the moment, so you might have to be patient and keep building your portfolio.