No. You will pay self-employment tax for the self-employment income you are getting from the LLC. The SE is for Social Security and Medicare. You can also prepare a schedule C for your business expenses for the LLC.
by the way if your LLC has not elected S-Corp status, technically you are not an employee of your own unincorporated business. the wages you earn with the law firm will reduce the fica taxes yo pay on your LLC's net earnings. there is no limit for compensation (wages and self employment income) subject to medicare taxes. FiCa is imposed on a maximum of $132,900 of the total of fica wages and self employment income.