From the linked Wikipedia article on Beringia [1]:
> Today, the average water depth of the Bering Strait is 40–50 m (130–160 ft), therefore the land bridge opened when the sea level dropped more than 50 m (160 ft) below the current level. A reconstruction of the sea-level history of the region indicated that a seaway existed from c. 135,000 – c. 70,000 BP, a land bridge from c. 70,000 – c. 60,000 BP, intermittent connection from c. 60,000 – c. 30,000 BP, a land bridge from c. 30,000 – c. 11,000 BP, followed by a Holocene sea-level rise that reopened the strait.
30-25 kya fits the data OK and there may have been open north-south corridors at that time. The question is how solid the Mexican evidence is.