diff --git a/src/main/java/com/fasterxml/jackson/databind/deser/AbstractDeserializer.java b/src/main/java/com/fasterxml/jackson/databind/deser/AbstractDeserializer.java
index e64bad708b..578afd940b 100644
--- a/src/main/java/com/fasterxml/jackson/databind/deser/AbstractDeserializer.java
+++ b/src/main/java/com/fasterxml/jackson/databind/deser/AbstractDeserializer.java
@@ -249,7 +249,7 @@ public Object deserializeWithType(JsonParser p, DeserializationContext ctxt,
                     t = p.nextToken();
                 }
                 if ((t == JsonToken.FIELD_NAME) && _objectIdReader.maySerializeAsObject()
-                        && _objectIdReader.isValidReferencePropertyName(p.getCurrentName(), p)) {
+                        && _objectIdReader.isValidReferencePropertyName(p.currentName(), p)) {
                     return _deserializeFromObjectId(p, ctxt);
                 }
             }
diff --git a/src/main/java/com/fasterxml/jackson/databind/deser/std/NumberDeserializers.java b/src/main/java/com/fasterxml/jackson/databind/deser/std/NumberDeserializers.java
index 5e48876fb7..6f045beab6 100644
--- a/src/main/java/com/fasterxml/jackson/databind/deser/std/NumberDeserializers.java
+++ b/src/main/java/com/fasterxml/jackson/databind/deser/std/NumberDeserializers.java
@@ -349,10 +349,10 @@ public Short deserialize(JsonParser p, DeserializationContext ctxt)
             if (_primitive) {
                 return _parseShortPrimitive(p, ctxt);
             }
-            return _parseShort(ctxt, p);
+            return _parseShort(p, ctxt);
         }
 
-        protected Short _parseShort(DeserializationContext ctxt, JsonParser p)
+        protected Short _parseShort(JsonParser p, DeserializationContext ctxt)
                 throws IOException
         {
             CoercionAction act;
@@ -492,7 +492,7 @@ public Integer deserialize(JsonParser p, DeserializationContext ctxt) throws IOE
             if (_primitive) {
                 return _parseIntPrimitive(p, ctxt);
             }
-            return _parseInteger(ctxt, p);
+            return _parseInteger(p, ctxt);
         }
 
         // Since we can never have type info ("natural type"; String, Boolean, Integer, Double):
@@ -507,11 +507,10 @@ public Integer deserializeWithType(JsonParser p, DeserializationContext ctxt,
             if (_primitive) {
                 return _parseIntPrimitive(p, ctxt);
             }
-            return _parseInteger(ctxt, p);
+            return _parseInteger(p, ctxt);
         }
 
-        // @since 2.12
-        protected final Integer _parseInteger(DeserializationContext ctxt, JsonParser p)
+        protected final Integer _parseInteger(JsonParser p, DeserializationContext ctxt)
                 throws IOException
         {
             CoercionAction act;
@@ -590,11 +589,10 @@ public Long deserialize(JsonParser p, DeserializationContext ctxt) throws IOExce
             if (_primitive) {
                 return _parseLongPrimitive(p, ctxt);
             }
-            return _parseLong(ctxt, p);
+            return _parseLong(p, ctxt);
         }
 
-        // @since 2.12
-        protected final Long _parseLong(DeserializationContext ctxt, JsonParser p)
+        protected final Long _parseLong(JsonParser p, DeserializationContext ctxt)
                 throws IOException
         {
             CoercionAction act;
diff --git a/src/main/java/com/fasterxml/jackson/databind/deser/std/StackTraceElementDeserializer.java b/src/main/java/com/fasterxml/jackson/databind/deser/std/StackTraceElementDeserializer.java
index a7b6022ea7..55532feb93 100644
--- a/src/main/java/com/fasterxml/jackson/databind/deser/std/StackTraceElementDeserializer.java
+++ b/src/main/java/com/fasterxml/jackson/databind/deser/std/StackTraceElementDeserializer.java
@@ -28,7 +28,7 @@ public StackTraceElement deserialize(JsonParser p, DeserializationContext ctxt)
             int lineNumber = -1;
 
             while ((t = p.nextValue()) != JsonToken.END_OBJECT) {
-                String propName = p.getCurrentName();
+                String propName = p.currentName();
                 // TODO: with Java 8, convert to switch
                 if ("className".equals(propName)) {
                     className = p.getText();
diff --git a/src/main/java/com/fasterxml/jackson/databind/deser/std/StdDeserializer.java b/src/main/java/com/fasterxml/jackson/databind/deser/std/StdDeserializer.java
index 6749420e91..2d6ed0e7f8 100644
--- a/src/main/java/com/fasterxml/jackson/databind/deser/std/StdDeserializer.java
+++ b/src/main/java/com/fasterxml/jackson/databind/deser/std/StdDeserializer.java
@@ -381,7 +381,7 @@ protected final boolean _parseBooleanPrimitive(JsonParser p, DeserializationCont
 
         // may accept ints too, (0 == false, otherwise true)
         if (t == JsonToken.VALUE_NUMBER_INT) {
-            Boolean b = _coerceBooleanFromInt(ctxt, p, Boolean.TYPE);
+            Boolean b = _coerceBooleanFromInt(p, ctxt, Boolean.TYPE);
             // may get `null`, Boolean.TRUE or Boolean.FALSE so:
             return (b == Boolean.TRUE);
         }
@@ -478,7 +478,7 @@ protected final Boolean _parseBoolean(JsonParser p, DeserializationContext ctxt,
             return null;
         case JsonTokenId.ID_NUMBER_INT:
             // may accept ints too, (0 == false, otherwise true)
-            return _coerceBooleanFromInt(ctxt, p, targetType);
+            return _coerceBooleanFromInt(p, ctxt, targetType);
         case JsonTokenId.ID_START_ARRAY: // unwrapping / from-empty-array coercion?
             return (Boolean) _deserializeFromArray(p, ctxt);
         }
@@ -1102,7 +1102,7 @@ protected CoercionAction _checkFloatToIntCoercion(JsonParser p, DeserializationC
     /**
      * @since 2.12
      */
-    protected Boolean _coerceBooleanFromInt(DeserializationContext ctxt, JsonParser p,
+    protected Boolean _coerceBooleanFromInt(JsonParser p, DeserializationContext ctxt,
             Class<?> rawTargetType)
         throws IOException
     {
diff --git a/src/main/java/com/fasterxml/jackson/databind/deser/std/ThrowableDeserializer.java b/src/main/java/com/fasterxml/jackson/databind/deser/std/ThrowableDeserializer.java
index 0878956825..65d5aa0182 100644
--- a/src/main/java/com/fasterxml/jackson/databind/deser/std/ThrowableDeserializer.java
+++ b/src/main/java/com/fasterxml/jackson/databind/deser/std/ThrowableDeserializer.java
@@ -85,7 +85,7 @@ public Object deserializeFromObject(JsonParser p, DeserializationContext ctxt) t
         int pendingIx = 0;
 
         for (; !p.hasToken(JsonToken.END_OBJECT); p.nextToken()) {
-            String propName = p.getCurrentName();
+            String propName = p.currentName();
             SettableBeanProperty prop = _beanProperties.find(propName);
             p.nextToken(); // to point to field value