Employers are not required to allow employees to work more than one job for them; employers can choose to allow or prohibit this agreement and can set their own criteria for doing so, as long as they do not discriminate against a protected class. Outside the office and under the watchful eye of supervisors and nosy co-workers, those who work at the same time “alternate between two laptops and calendars.” It's almost a third or fourth job juggling everything. Sometimes you need to sign in to two meetings at once. Use the time off from one job to work on projects for the other position.
Keep track of your LinkedIn profile. Remember who you send emails and text messages to, so as not to confuse people and send an important document to the wrong company executive.