Novo Nordisk A/S is asking a federal judge to halt Eli Lilly & Co.’s advertisements for its GLP-1 drugs, escalating a legal fight against the company’s campaign for weight loss treatments.

The company said Friday it filed a motion for preliminary injunction seeking to block Lilly’s advertisements of its obesity drugs, days after filing a lawsuit accusing the company of deceptive promotions.

“Misleading advertisements that selectively compare lower doses of Novo Nordisk’s medicines against higher doses of Lilly’s medicines, based on outdated studies, leave patients with the mistaken impression that Lilly’s drugs are vastly superior, and that is simply …