  Extra soft jets in top events in $p \bar p$ collisions may arise not only
from gluons radiated off initial state partons or final state $b$ quarks, but
may also be radiated from the $t$ quarks themselves. We discuss predictions for
distributions of soft gluons in $t \bar t$ production at the Tevatron and the
implications for attempts to measure the top mass by reconstructing the
invariant mass of its decay products.
