Removable drive connected over OTG disconnects when screen turns off

I own a tablet with Jelly Bean installed. I usually connect a pen drive to it using an OTG cable and it works fine (except for NTFS file system and the below problem too). The issue is when the screen turns off after the time out while the storage device is connected, it disconnects itself. If I turn the screen on, it will be mounted automatically. It is annoying to change the time-out now-and-then and keeping it on for a long time by touching the display. Is there any solution to this?