Assuming I've copied and pasted the census bureau's fragmented data correctly, the top ten 113th Congress congressional districts with the highest percentage of foreign-born population are:
1) FL-27 54.75%
2) FL-25 52.66%
3) NY-06 51.79%
4) CA-34 49.90%
5) NY-14 48.21%
6) FL-26 48.01%
7) CA-17 45.19%
8) CA-29 43.73%
9) NJ-08 43.16%
10) NY-05 43.09%
Note that foreign-born doesn't include those born abroad to US citizens. Those people are grouped with native-born Puerto Ricans and others born in US territories, for some reason.
The five districts with the lowest percentage of foreign-born residents are:
1) KY-05 0.65%
2) OH-06 0.77%
3) WV-03 1.07%
4) WV-01 1.09%
5) MO-08 1.27%
IL-4 will be up there, but perhaps not the top 10. The current estimate puts it at about 36% foreign born.
IL-04 is 23rd.