Travel on B1/B2 while L1 individual petition is still under process

[bhavnasoni]

Hi,

I have a B1/B2 valid for another 8 years. I have been to US 3 times previously and my company had recently applied for my L1 blanket petition but unfortunately the visa got rejected. Now the company has applied for an individual L1 petition. Now, I am scheduled to travel to US for a training for a week while the individual petition is under process. Can I travel on my existing visa keeping in mind I had a recent L1 rejection and another application is under process?

Your help will be highly appreciated.

Thanks