The number of refugees granted U.S. asylum is low: about 25 thousand in 2022, and about 25 thousand on average between 1990 and 2021. (There is an annual cap agreed on between Congress and the President.) Since the passage of the Refugee Act in 1980, the United States has admitted about 76 thousand refugees per year on average. There were about 29 million refugees worldwide in 2022, with most from Syria, Ukraine, and Afganistan.

The number of undocumented immigrants in the U.S has not changed much since 2004, but the number of border encounters is at record highs. In 2022, there were about 1.6 million people waiting for U.S. asylum hearings.

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Annual Flow Report NOVEMBER 2023 Refugees and Asylees: 2022
"A total of 25,519 persons were admitted to the United States as refugees during 2022, including 9,012 as principal refugees and 16,507 as derivative accompanying refugees."
dhs.gov - Plcy refugees and asylees

How many people seek asylum in the US?, July 13, 2023
"Between 1990 and 2021, the US admitted 767,950 asylum seekers into the country. In 2021 alone, the US admitted 17,692 asylees, a 42.9% drop from the year before, and the lowest year since 1994."
usafacts.org - How many people seek asylum in the US

What we know about unauthorized immigrants living in the U.S., November 16, 2023
"The number of unauthorized immigrants living in the U.S. in 2021 remained below its peak of 12.2 million in 2007. It was about the same size as in 2004 and lower than every year from 2005 to 2015."
pewresearch.org - What we know about unauthorized immigrants living in the US

A Sober Assessment of the Growing U.S. Asylum Backlog, Dec 22, 2022
"The latest available data reveal that the number of asylum seekers waiting for asylum hearings in the U.S. has now reached at least 1,565,966 individuals."
https://trac.syr.edu/reports/705/