The following is the last paragraph from the following DHS announcement which tells that we are eligible for work authorization till the end of TPS termination.
https://www.dhs.gov/news/2018/04/26/secretary-kirstjen-m-nielsen-announcement-temporary-protected-status-nepal

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Nepali citizens with current TPS registrations will be required to re-register for TPS and apply for Employment Authorization Documents in order to legally work in the United States until the termination of Nepal’s TPS designation becomes effective June 24, 2019. Further details about this termination for TPS, including the re-registration period, will appear in a Federal Register notice. Nepali TPS beneficiaries should not submit re-registration applications until the re-registration period is announced through the Federal Register notice.