"What we don't do in our NHS is micromanage it from the desk", he said.
The Basildon and Brentwood CCG said GP surgeries are also following protocol and working to keep any impact on patients to a minimum - with appointments running as normal.
Dozens of state-run NHS hospitals were hit by a global cyber attack last Friday, many closing their doors to emergency cases and cancelling life-saving operations and routine appointments.
Wainwright said he was concerned that the numbers of those affected would continue to rise when people returned to work on Monday morning.
But as Asia woke up to the working week on Monday, leading Chinese security-software provider Qihoo 360 said "hundreds of thousands" of computers in the country were hit at almost 30,000 institutions including government agencies.
Research released earlier this month revealed that Northern Ireland is a hotspot for online financial scams and it is important the message gets out about all types of cyber fraud.
Leeds and York Partnership NHS Foundation Trust and the Hull and East Yorkshire trust are continuing to suspend internet access to staff today.
The ransomware attack struck British National Health Service organisations, along with computer networks of companies and municipalities in dozens of other countries.
Officials struggled to explain why some NHS computers had not been "patched" with Microsoft updates to close the vulnerability that allowed the worm to spread across its networks.
Justice secretary Michael Matheson said: "Friday's attack has highlighted the need for everyone to have appropriate and robust measures in place to protect against cyber-attacks which could strike any IT system at any time".
It said in a statement: "NHS Digital issued a targeted update on a secure portal accessible to NHS staff on April 25, and then via a bulletin to more than 10,000 security and IT professionals on April 27 to alert them to this specific issue".
Ms Robinson said cyber attacks reinforced the need for everyone to guard against future incidents. "This guidance was also reissued on Friday following the emergence of this issue".
Wallace said the government used to contract for computer services across the entire NHS but that in 2007 that was stopped and left to the individual trusts.
"We have recently invested in upgrading IT to protect potentially vulnerable NHS Wales systems and all GP systems in Wales are managed and supported centrally, with best practice security controls".
At present, patients are being advised to still turn up to their scheduled appointments, and while the NHS systems can not confirm details of them, they are doing their best to instil as little inconvenience as possible.