Fiscal policy may impose restrictions on Inflation Targeting when Central Bank Independence (CBI) is institutionally weak and society has a real exchange rate target that is highly valued. In this environment, fiscal policy constrains the decisions of a committed, independent Central Bank (CB) regarding inflation. When such a pressure is strong enough to threaten cbi, monetary authorities react by setting an inflation target that differs from the one that would prevail in the absence of those threats. A simple model is used to illustrate this point where the CB takes into account the probability of survival as an independent institution.