The ISS-based Calorimetric Electron Telescope (CALET) is directly measuring the energy spec-
trum of electron+positron cosmic rays up to 20 TeV. Cosmic-ray electrons of TeV region energy
are limited by energy loss to a propagation range of about 1 kpc, therefore the expected sources
are a few nearby supernova remnants (SNR), with the Vela SNR dominating the spectrum.
The latest spectrum measured by CALET in combination with the positron-only flux published
by AMS-02 is fitted with a comprehensive model including nearby pulsars as the source of
the positron excess. This model is extended to the TeV region by addition of the flux from the
Vela SNR as calculated with DRAGON, with the integrated energy emitted in electron cosmic
rays by the SNR as a variable scale factor. Exploring various scenarios for the time and energy
dependence of the cosmic-ray release from Vela, under varied propagation conditions, best-fitting
interpretations of the spectrum and upper limits on the emission of cosmic-ray electrons by Vela
have been derived.