Sharks and rays (cartilaginous fishes) actually do this. The body of the shark is normally isotonic to the seawater around it. This is known as osmoconformation, as opposed to osmoregulation as seen in other bony fish. Most marine invertebrates (i.e. most other sea creatures) are osmoconformers as well, although their ionic composition may be different from that of seawater.
In sharks and rays, they maintain their isotonic relationship to the seawater using urea and trimethylamine oxide (TMAO). The shark’s blood electrolyte composition is not similar to that of seawater, but maintains isotonicity with seawater by storing urea at high concentrations. Sharks are “ureotelic” animals that secrete urea to maintain osmotic balance. TMAO stabilizes proteins in the presence of high urea levels, preventing the disruption of peptide bonds that would otherwise occur at such high levels of urea.
Additional reading:
[Pang, 1977. Osmoregulation in Elasmobranchs](https://academic.oup.com/icb/article-pdf/17/2/365/6065335/17-2-365.pdf) (pdf link)
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