Lindsay's Allegedly Flunking Alcohol Ed

Sources tell TMZ the alcohol education course which Lindsay Lohan is taking as part of her probation not only contacted the court about Lindsay's conduct ... we're told they may have already told the court she is outright violating the terms of the program.

As we first told you, the judge in Lindsay's DUI case has ordered her to appear for the progress report. Lindsay pled no contest to DUI in 2007.

If the judge determines Lindsay violated the terms of the program, her probation can be revoked and Lindsay could end up in jail.