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We consider the asymptotic behavior of the KPZ fixed point $\{\mathsfH(x,t)\}_{x\in\mathbb R, t>0}$ conditioned on $\mathsf H(0,T)=L$ as $L$ goes toinfinity. The main result is a conditional limit theorem for the fluctuationsof $\mathsf H$ in the region near the line segment connecting the origin$(0,0)$ and $(0,T)$ for both step and flat initial conditions. The limit randomfield can be represented as a functional of two independent Brownian bridges,and in addition the limit random field depends also on the initial law of theKPZ fixed point. In particular for temporal fluctuations, the limit processindexed by line segment between $(0,0)$ and $(0,T)$, when the KPZ is with stepinitial condition, has the law of the minimum of two independent Brownianbridges; and when the KPZ is with flat initial condition the limit process hasthe law of the minimum of two independent Brownian bridges, each in additionperturbed by a common Gaussian random variable. For spatial-temporalfluctuations, the conditional limit theorem sheds light on the asymptoticbehaviors of the point-to-point geodesic of the directed landscape conditionedon its length and as the length tends to infinity.

A conditional scaling limit of the KPZ fixed point with height tending to infinity at one location