Looping through download.file() in R causes timeout

Question

I'm trying to create a pipeline for downloading multiple files, unzipping and merging them in the end but I get a timeout error at the step of the download using base R function download.file.

Below is my code snippet

files %>% 
  paste0(url, .) %>% 
  map(download.file(., destfile = gsub("^.*/", "", .)))

First comes the base url and the file name is extracted for later use. The above code returns the following

Warning messages:
1: In download.file(., destfile = gsub("^.*/", "", .)) :
  URL 'https://example.com/files/file1.csv.gz': Timeout of 60 seconds was reached
2: In download.file(., destfile = gsub("^.*/", "", .)) :
  URL 'https://example.com/files/file2.csv.gz': Timeout of 60 seconds was reached
3: In download.file(., destfile = gsub("^.*/", "", .)) :
  some files were not downloaded

From what I understand the problem seems to be that a connection is established to download ALL the files at the same time. Beyond that, any help is appreciated.