Can you work and still apply for SSDI?
Yes. So long as your gross earnings do not exceed the current substantial gainful activity (SGA) level. The level changes periodically and has been around $1,000.00 per month or $3,000.00 per quarter lately.
Often times an employer can reduce your work load and earnings due to your health problems and you can proceed with your claim. Always check with Social Security to confirm current SGA level.
Once approved you can consider the trial work period before making a final decision to leave the work force or not.
Be very careful not to exceed the current SGA level as doing so will result in an almost certain denial of your claim.