Culling data from the 41 million foreign-born immigrants in the country — a population that includes the 11.3 million undocumented immigrant population — the study authors write in their 400-page report that integration into American society “may make immigrants and their children better off and in a better position to fully contribute to their communities.”

“They’re integrating as well as, or even faster, than immigrants who came from Europe in the last century,” lead author and Harvard University sociology professor Dr. Mary Waters told ThinkProgress in a phone interview this week. “In that way, I think it should be reassuring to Americans who are often worried that somehow the immigrants are not learning English, are not progressing well, or becoming full Americans. What we find overall — there’s a lot of details and caveats — but overall, the immigrants are rapidly assimilating into American society.”