E-Business Information Systems (eBIS) are Information Systems (IS) that support organizations to realize their e-Business strategy resulting in various benefits. Therefore those systems strongly focus on fulfilment of the e-business requirements. In order to realise the expected benefits, organizations need to turn to their eBIS and measure the maturity of those systems. In doing so, they need to identify the status of those systems with regards to their suitability to support the e-Business strategy, while also identifying required IS improvements. In our research we aim to develop a maturity model, particularly dedicated to the area of e-Business Information Systems, which can be used easily and objectively to measure of the current maturity of any Information System that supports e-Business. This research-in-progress paper presents initial results of our research.