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We construct a de Branges-Rovnyak space ${\\mathcal H}(b)$ in which the polynomials are dense, and a function $f\\in{\\mathcal H}(b)$ such that $\\lim_{r\\to1^-}\\|f_r\\|_{{\\mathcal H}(b)}=\\infty$. 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We construct a de Branges-Rovnyak space ${\\mathcal H}(b)$ in which the polynomials are dense, and a function $f\\in{\\mathcal H}(b)$ such that $\\lim_{r\\to1^-}\\|f_r\\|_{{\\mathcal H}(b)}=\\infty$. 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