20,000 H1B QUOTA Re-Apply?

[sunnyray21]

Can my new employer reapply for another H1B visa from another employer (since my title will be different) under the 20,000 quota? I'm a US Masters degree H1B holder and got my visa a few months under the 20,000 quota and currently working in the US...I appreciate your answer.

[Someone told me i can't use the 20,000 quota twice]

Thanks!