The Suslin matrices exhibit interesting properties which lead to the Local Global Principle and other important results. In this paper, we follow the Suslin construction by defining a variant of the Suslin matrices which are named the Almost Suslin Matrices S_r^(λ,μ) (v,w), w.r.t. a pair of parameters λ,μ∈R. The Almost Suslin matrices, despite the parameters, satisfy properties which can be used to derive stronger results. We define a special product ⟨⟨v,w⟩⟩ for v,w∈M_1(r+1)  (R). This helps us to derive results which finally leads us to our goal of proving the Key Lemma.