Travel to Mexico on H1B (employer name on H1B stamp not current)

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Hello all - I switched to a new employer in Nov 2021 and received i797 for my H1B transfer. However, my H1B stamp (valid until 2023) shows my prior employer. I am planning to travel to Mexico next month. Is there a risk in my re-entry with the employer name in my H1B stamp not being current?

Thank you in advance