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The NASA TESS mission will deliver hundreds of transiting exoplanetcandidates orbiting bright stars. The spectrometers SOPHIE at OHP and SPIRou atCFHT will be ideal to obtain radial velocities of these candidates, confirmtheir nature, and derive the planets' masses. These measurements will becrucial to deliver the best targets for atmospheric characterization with JWST.Here, we calculate the required observing time with SOPHIE, SPIRou, and JWSTfor each of the TESS targets in order to prepare follow-up observations. Toinfer their potential for JWST, we restrict the calculations to the case oftransmission spectroscopy with NIRISS. The radial velocity follow-up of thegiant planets ($R_p > 4 \rm \, R_E$) could be achieved with SOPHIE, with amedian observing time of 3.47 hours per target, and a total observing time of305 hours that includes the 80% most favorable cases. Several small planets($R_p < 4 \rm \, R_E$) could also be confirmed, but most of them would requirean unrealistic time investment. On the other hand, SPIRou is ideally suited tothe follow-up of the small planets, with a median observing time of 2.65 hoursper target, and a median observing time of 4.70 hours for the terrestrialplanets in the habitable zone ($R_p < 2 \rm \, R_E$, $S < 2 \rm \, S_E$). WithJWST, the 10% most favorable small planets (184 planets) have a medianobserving time of 16.2 hours, and the 10% most favorable habitable zoneterrestrial planets (7 planets) have a median observing time of 59.7 hours.Overall, this study will help define a follow-up strategy and prepareobservation programs with SOPHIE and SPIRou before the first planet candidatesare delivered by TESS.

Follow-up and characterization of the TESS exoplanets with SOPHIE, SPIRou, and JWST