How to keep the internal shell script running while the main shell script ends?

I am trying to create one script which check for a running process and start it if it is not running.

Here is test.sh

#!/bin/bash
if pgrep infiloop > /dev/null ;
  then
  echo "Process is running."
else
   exec /u/team/infiloop.sh > /u/team/infiloopOutput.txt
  echo "Process was not running."
fi

And infiloop.sh

#!/bin/sh

while true
do
 echo "helllo"
 sleep 2
done

Now when i run the 1st script , it starts the script but after it start it doesn't allow me to run another command.

Output:

[user@host ~]$ ./checkforRunningJob.sh

^C

I have to press Ctrl+C, Ctrl+Z, and once i do that my infinite script also stop.

Could you please check.

Thanks.