  In this paper, we evaluate traversable wormhole solutions through Karmarkar
condition in $f(R,T)$ theory, where $T$ is the trace of the energy-momentum
tensor and $R$ represents the Ricci scalar. We develop a wormhole shape
function for the static traversable wormhole geometry by using the embedding
class-I technique. The resulting shape function is used to construct wormhole
geometry that fulfills all the necessary conditions and joins the two
asymptotically flat regions of the spacetime. We investigate the existence of
viable traversable wormhole solutions for anisotropic matter configuration and
examine the stable state of these solutions for different $f(R,T)$ gravity
models. We analyze the graphical behavior of null energy bound to examine the
presence of physically viable wormhole geometry. It is found that viable and
stable traversable wormhole solutions exist in this modified theory of gravity.
